6407913697920 has 1024 divisors, whose sum is σ = 27340125696000. Its totient is φ = 1385635921920.

The previous prime is 6407913697897. The next prime is 6407913697921. The reversal of 6407913697920 is 297963197046.

6407913697920 is a `hidden beast` number, since 6 + 407 + 9 + 136 + 9 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×6407913697920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6407913697921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162642359 + ... + 2162645321.

It is an arithmetic number, because the mean of its divisors is an integer number (26699341500).

Almost surely, 2^{6407913697920} is an apocalyptic number.

6407913697920 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 6407913697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13670062848000).

6407913697920 is an abundant number, since it is smaller than the sum of its proper divisors (20932211998080).

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

6407913697920 is a wasteful number, since it uses less digits than its factorization.

6407913697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 6407913697920 in words is "six trillion, four hundred seven billion, nine hundred thirteen million, six hundred ninety-seven thousand, nine hundred twenty".