7561053864 has 288 divisors, whose sum is σ = 26188081920. Its totient is φ = 1992864384.

The previous prime is 7561053847. The next prime is 7561053881. The reversal of 7561053864 is 4683501657.

7561053864 is a `hidden beast` number, since 7 + 56 + 1 + 0 + 538 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (7561053847) and next prime (7561053881).

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, 4775617 + ... + 4777199.

It is an arithmetic number, because the mean of its divisors is an integer number (90930840).

Almost surely, 2^7561053864 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 7561053864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094040960).

7561053864 is an abundant number, since it is smaller than the sum of its proper divisors (18627028056).

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

7561053864 is a wasteful number, since it uses less digits than its factorization.

7561053864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 7561053864 is about 86954.3205597054. The cubic root of 7561053864 is about 1962.7309792046.

The spelling of 7561053864 in words is "seven billion, five hundred sixty-one million, fifty-three thousand, eight hundred sixty-four".