7001606976 has 224 divisors, whose sum is σ = 23233367808. Its totient is φ = 1811496960.

The previous prime is 7001606929. The next prime is 7001606981. The reversal of 7001606976 is 6796061007.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922236 + ... + 929796.

It is an arithmetic number, because the mean of its divisors is an integer number (103720392).

Almost surely, 2^7001606976 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 7001606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616683904).

7001606976 is an abundant number, since it is smaller than the sum of its proper divisors (16231760832).

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

7001606976 is a wasteful number, since it uses less digits than its factorization.

7001606976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 7001606976 is about 83675.6056207542. The cubic root of 7001606976 is about 1913.0775541675.

The spelling of 7001606976 in words is "seven billion, one million, six hundred six thousand, nine hundred seventy-six".