7880590464 has 128 divisors (see below), whose sum is σ = 21898339200. Its totient is φ = 2506285056.

The previous prime is 7880590463. The next prime is 7880590469. The reversal of 7880590464 is 4640950887.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7880590464² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7880590463) by changing a digit.

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, 4494612 + ... + 4496364.

It is an arithmetic number, because the mean of its divisors is an integer number (171080775).

Almost surely, 2^7880590464 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 7880590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949169600).

7880590464 is an abundant number, since it is smaller than the sum of its proper divisors (14017748736).

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

7880590464 is a wasteful number, since it uses less digits than its factorization.

7880590464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 7880590464 is about 88772.6898544817. The cubic root of 7880590464 is about 1989.9992814994. Note that the first 3 decimals are identical.

The spelling of 7880590464 in words is "seven billion, eight hundred eighty million, five hundred ninety thousand, four hundred sixty-four".