7476978816 has 192 divisors, whose sum is σ = 22094130240. Its totient is φ = 2426112000.

The previous prime is 7476978809. The next prime is 7476978827. The reversal of 7476978816 is 6188796747.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9219051 + ... + 9219861.

It is an arithmetic number, because the mean of its divisors is an integer number (115073595).

Almost surely, 2^7476978816 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 7476978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047065120).

7476978816 is an abundant number, since it is smaller than the sum of its proper divisors (14617151424).

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

7476978816 is a wasteful number, since it uses less digits than its factorization.

7476978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The square root of 7476978816 is about 86469.5253600944. The cubic root of 7476978816 is about 1955.4289926202.

The spelling of 7476978816 in words is "seven billion, four hundred seventy-six million, nine hundred seventy-eight thousand, eight hundred sixteen".