7896905856000 has 3168 divisors, whose sum is σ = 35967001824000. Its totient is φ = 1655429529600.

The previous prime is 7896905855983. The next prime is 7896905856001. The reversal of 7896905856000 is 6585096987.

7896905856000 is a `hidden beast` number, since 7 + 8 + 9 + 69 + 0 + 5 + 8 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×7896905856000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7896905856001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39682943901 + ... + 39682944099.

Almost surely, 2^{7896905856000} is an apocalyptic number.

7896905856000 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 7896905856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983500912000).

7896905856000 is an abundant number, since it is smaller than the sum of its proper divisors (28070095968000).

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

7896905856000 is a wasteful number, since it uses less digits than its factorization.

7896905856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 7896905856000 in words is "seven trillion, eight hundred ninety-six billion, nine hundred five million, eight hundred fifty-six thousand".