4640066976 has 96 divisors (see below), whose sum is σ = 12492144000. Its totient is φ = 1507573760.

The previous prime is 4640066941. The next prime is 4640066993. The reversal of 4640066976 is 6796600464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602800 + ... + 610448.

It is an arithmetic number, because the mean of its divisors is an integer number (130126500).

Almost surely, 2^4640066976 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 4640066976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246072000).

4640066976 is an abundant number, since it is smaller than the sum of its proper divisors (7852077024).

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

4640066976 is a wasteful number, since it uses less digits than its factorization.

4640066976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 4640066976 is about 68118.0370826993. The cubic root of 4640066976 is about 1667.9182081822.

The spelling of 4640066976 in words is "four billion, six hundred forty million, sixty-six thousand, nine hundred seventy-six".