7872403696640 has 352 divisors, whose sum is σ = 21757677369984. Its totient is φ = 2677258321920.

The previous prime is 7872403696637. The next prime is 7872403696699. The reversal of 7872403696640 is 466963042787.

It is a super-2 number, since 2×7872403696640² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3230365502 + ... + 3230367938.

Almost surely, 2^{7872403696640} is an apocalyptic number.

7872403696640 is a gapful number since it is divisible by the number (70) 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 7872403696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878838684992).

7872403696640 is an abundant number, since it is smaller than the sum of its proper divisors (13885273673344).

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

7872403696640 is a wasteful number, since it uses less digits than its factorization.

7872403696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 62.

The spelling of 7872403696640 in words is "seven trillion, eight hundred seventy-two billion, four hundred three million, six hundred ninety-six thousand, six hundred forty".