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6990467760 = 2432531210103
BaseRepresentation
bin1101000001010101…
…00001001010110000
3200001011210120000100
412200222201022300
5103304024432020
63113353552400
7335141665323
oct64052411260
920034716010
106990467760
112a67a33991
121431115700
13875349273
144a45987ba
152ada84a90
hex1a0aa12b0

6990467760 has 180 divisors, whose sum is σ = 24260451696. Its totient is φ = 1803813120.

The previous prime is 6990467753. The next prime is 6990467767. The reversal of 6990467760 is 677640996.

It is an interprime number because it is at equal distance from previous prime (6990467753) and next prime (6990467767).

It is a tau number, because it is divible by the number of its divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 6990467697 and 6990467706.

It is not an unprimeable number, because it can be changed into a prime (6990467767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 686869 + ... + 696971.

Almost surely, 26990467760 is an apocalyptic number.

6990467760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6990467760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130225848).

6990467760 is an abundant number, since it is smaller than the sum of its proper divisors (17269983936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6990467760 is a wasteful number, since it uses less digits than its factorization.

6990467760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10184 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 6990467760 is about 83609.0172170442. The cubic root of 6990467760 is about 1912.0624778986.

The spelling of 6990467760 in words is "six billion, nine hundred ninety million, four hundred sixty-seven thousand, seven hundred sixty".