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6812469720 = 23325710332617
BaseRepresentation
bin1100101100000111…
…00000100111011000
3122120202212022121100
412112003200213120
5102422443012340
63043554511400
7330551015520
oct62603404730
918522768540
106812469720
112986509371
1213a1595560
138474c6694
14488aa2680
1529d124830
hex1960e09d8

6812469720 has 192 divisors, whose sum is σ = 25337632320. Its totient is φ = 1555034112.

The previous prime is 6812469701. The next prime is 6812469737. The reversal of 6812469720 is 279642186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601852 + ... + 2604468.

It is an arithmetic number, because the mean of its divisors is an integer number (131966835).

Almost surely, 26812469720 is an apocalyptic number.

6812469720 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 6812469720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668816160).

6812469720 is an abundant number, since it is smaller than the sum of its proper divisors (18525162600).

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

6812469720 is a wasteful number, since it uses less digits than its factorization.

6812469720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6812469720 is about 82537.6866649411. The cubic root of 6812469720 is about 1895.6938230692.

The spelling of 6812469720 in words is "six billion, eight hundred twelve million, four hundred sixty-nine thousand, seven hundred twenty".