7578616864 has 192 divisors, whose sum is σ = 20118067200. Its totient is φ = 2723954688.

The previous prime is 7578616831. The next prime is 7578616901. The reversal of 7578616864 is 4686168757.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 7578616799 and 7578616808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432977 + ... + 1438255.

It is an arithmetic number, because the mean of its divisors is an integer number (104781600).

Almost surely, 2^7578616864 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 7578616864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059033600).

7578616864 is an abundant number, since it is smaller than the sum of its proper divisors (12539450336).

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

7578616864 is a wasteful number, since it uses less digits than its factorization.

7578616864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5355 (or 5347 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 58.

The square root of 7578616864 is about 87055.2517887347. The cubic root of 7578616864 is about 1964.2494971619.

The spelling of 7578616864 in words is "seven billion, five hundred seventy-eight million, six hundred sixteen thousand, eight hundred sixty-four".