7151796831564 has 960 divisors, whose sum is σ = 25486589399040. Its totient is φ = 1692935354880.

The previous prime is 7151796831559. The next prime is 7151796831589. The reversal of 7151796831564 is 4651386971517.

7151796831564 is a `hidden beast` number, since 7 + 1 + 5 + 1 + 7 + 9 + 68 + 3 + 1 + 564 = 666.

It is a super-2 number, since 2×7151796831564² (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).

Its product of digits (38102400) is a multiple of the sum of its prime factors (5400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1365625954 + ... + 1365631190.

It is an arithmetic number, because the mean of its divisors is an integer number (26548530624).

Almost surely, 2^{7151796831564} 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 7151796831564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12743294699520).

7151796831564 is an abundant number, since it is smaller than the sum of its proper divisors (18334792567476).

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

7151796831564 is a wasteful number, since it uses less digits than its factorization.

7151796831564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5389 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 7151796831564 in words is "seven trillion, one hundred fifty-one billion, seven hundred ninety-six million, eight hundred thirty-one thousand, five hundred sixty-four".