7157056080384 has 480 divisors, whose sum is σ = 24269657892480. Its totient is φ = 1987795353600.

The previous prime is 7157056080379. The next prime is 7157056080407. The reversal of 7157056080384 is 4830806507517.

It is a happy number.

7157056080384 is a `hidden beast` number, since 7 + 1 + 5 + 70 + 560 + 8 + 0 + 3 + 8 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7157056080384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371611747 + ... + 371631005.

It is an arithmetic number, because the mean of its divisors is an integer number (50561787276).

Almost surely, 2^{7157056080384} 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 7157056080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134828946240).

7157056080384 is an abundant number, since it is smaller than the sum of its proper divisors (17112601812096).

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

7157056080384 is a wasteful number, since it uses less digits than its factorization.

7157056080384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19612 (or 19593 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 7157056080384 in words is "seven trillion, one hundred fifty-seven billion, fifty-six million, eighty thousand, three hundred eighty-four".