4640576760 has 48 divisors (see below), whose sum is σ = 15081875640. Its totient is φ = 1237487040.

The previous prime is 4640576749. The next prime is 4640576771. The reversal of 4640576760 is 676750464.

It is a happy number.

4640576760 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 576 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4640576749) and next prime (4640576771).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6444886 + ... + 6445605.

Almost surely, 2^4640576760 is an apocalyptic number.

4640576760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4640576760 is an abundant number, since it is smaller than the sum of its proper divisors (10441298880).

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

4640576760 is a wasteful number, since it uses less digits than its factorization.

4640576760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12890508 (or 12890501 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4640576760 is about 68121.7788963265. The cubic root of 4640576760 is about 1667.9792882545.

The spelling of 4640576760 in words is "four billion, six hundred forty million, five hundred seventy-six thousand, seven hundred sixty".