7857029872640 has 352 divisors, whose sum is σ = 20870561283264. Its totient is φ = 2819335127040.

The previous prime is 7857029872639. The next prime is 7857029872661. The reversal of 7857029872640 is 462789207587.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

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, 3218773820 + ... + 3218776260.

It is an arithmetic number, because the mean of its divisors is an integer number (59291367282).

Almost surely, 2^{7857029872640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7857029872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435280641632).

7857029872640 is an abundant number, since it is smaller than the sum of its proper divisors (13013531410624).

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

7857029872640 is a wasteful number, since it uses less digits than its factorization.

7857029872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 65.

The spelling of 7857029872640 in words is "seven trillion, eight hundred fifty-seven billion, twenty-nine million, eight hundred seventy-two thousand, six hundred forty".