7151506560 has 576 divisors, whose sum is σ = 28104410880. Its totient is φ = 1672704000.

The previous prime is 7151506559. The next prime is 7151506589. The reversal of 7151506560 is 656051517.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7151506560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21605595 + ... + 21605925.

It is an arithmetic number, because the mean of its divisors is an integer number (48792380).

Almost surely, 2^7151506560 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 7151506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14052205440).

7151506560 is an abundant number, since it is smaller than the sum of its proper divisors (20952904320).

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

7151506560 is a wasteful number, since it uses less digits than its factorization.

7151506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 7151506560 is about 84566.5806332502. The cubic root of 7151506560 is about 1926.6338238010.

The spelling of 7151506560 in words is "seven billion, one hundred fifty-one million, five hundred six thousand, five hundred sixty".