7947157420800 has 2592 divisors, whose sum is σ = 34216641105920. Its totient is φ = 1741425868800.

The previous prime is 7947157420759. The next prime is 7947157420801. The reversal of 7947157420800 is 80247517497.

7947157420800 is a `hidden beast` number, since 7 + 9 + 47 + 1 + 574 + 20 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×7947157420800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7947157420801) 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, 16318598157 + ... + 16318598643.

Almost surely, 2^{7947157420800} 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 7947157420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108320552960).

7947157420800 is an abundant number, since it is smaller than the sum of its proper divisors (26269483685120).

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

7947157420800 is a wasteful number, since it uses less digits than its factorization.

7947157420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 7947157420800 in words is "seven trillion, nine hundred forty-seven billion, one hundred fifty-seven million, four hundred twenty thousand, eight hundred".