7642460160 has 520 divisors, whose sum is σ = 29114876736. Its totient is φ = 1911029760.

The previous prime is 7642460159. The next prime is 7642460191. The reversal of 7642460160 is 610642467.

7642460160 is a `hidden beast` number, since 7 + 6 + 42 + 4 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28200825 + ... + 28201095.

Almost surely, 2^7642460160 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 7642460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14557438368).

7642460160 is an abundant number, since it is smaller than the sum of its proper divisors (21472416576).

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

7642460160 is a wasteful number, since it uses less digits than its factorization.

7642460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7642460160 is about 87421.1654006054. The cubic root of 7642460160 is about 1969.7497822667.

The spelling of 7642460160 in words is "seven billion, six hundred forty-two million, four hundred sixty thousand, one hundred sixty".