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6725998080 = 29335314373
BaseRepresentation
bin1100100001110011…
…01001011000000000
3122100202011002211000
412100321221120000
5102233323414310
63031225252000
7325451016564
oct62071513000
918322132730
106725998080
1129417179aa
121378634000
1383260b729
1447b3d36a4
152957434c0
hex190e69600

6725998080 has 640 divisors, whose sum is σ = 25581219840. Its totient is φ = 1672151040.

The previous prime is 6725998021. The next prime is 6725998087. The reversal of 6725998080 is 808995276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6725998087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92136924 + ... + 92136996.

It is an arithmetic number, because the mean of its divisors is an integer number (39970656).

Almost surely, 26725998080 is an apocalyptic number.

6725998080 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 6725998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790609920).

6725998080 is an abundant number, since it is smaller than the sum of its proper divisors (18855221760).

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

6725998080 is a wasteful number, since it uses less digits than its factorization.

6725998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 6725998080 is about 82012.1825096735. The cubic root of 6725998080 is about 1887.6388756786.

The spelling of 6725998080 in words is "six billion, seven hundred twenty-five million, nine hundred ninety-eight thousand, eighty".