7153564880 has 240 divisors, whose sum is σ = 22027054464. Its totient is φ = 2132444160.

The previous prime is 7153564849. The next prime is 7153564883. The reversal of 7153564880 is 884653517.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7153564883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988154 + ... + 995366.

Almost surely, 2^7153564880 is an apocalyptic number.

7153564880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7153564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11013527232).

7153564880 is an abundant number, since it is smaller than the sum of its proper divisors (14873489584).

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

7153564880 is a wasteful number, since it uses less digits than its factorization.

7153564880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The square root of 7153564880 is about 84578.7495769475. The cubic root of 7153564880 is about 1926.8186449294.

The spelling of 7153564880 in words is "seven billion, one hundred fifty-three million, five hundred sixty-four thousand, eight hundred eighty".