7157947968000 has 1920 divisors, whose sum is σ = 28231755552000. Its totient is φ = 1804994150400.

The previous prime is 7157947967999. The next prime is 7157947968011. The reversal of 7157947968000 is 8697497517.

7157947968000 is a `hidden beast` number, since 7 + 15 + 79 + 479 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×7157947968000² (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 191 ways as a sum of consecutive naturals, for example, 26609471866 + ... + 26609472134.

It is an arithmetic number, because the mean of its divisors is an integer number (14704039350).

Almost surely, 2^{7157947968000} 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 7157947968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115877776000).

7157947968000 is an abundant number, since it is smaller than the sum of its proper divisors (21073807584000).

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

7157947968000 is an equidigital number, since it uses as much as digits as its factorization.

7157947968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 7157947968000 in words is "seven trillion, one hundred fifty-seven billion, nine hundred forty-seven million, nine hundred sixty-eight thousand".