7642974720 has 160 divisors (see below), whose sum is σ = 24500931840. Its totient is φ = 2032517120.

The previous prime is 7642974707. The next prime is 7642974749. The reversal of 7642974720 is 274792467.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7642974720.

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, 3308926 + ... + 3311234.

It is an arithmetic number, because the mean of its divisors is an integer number (153130824).

Almost surely, 2^7642974720 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 7642974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250465920).

7642974720 is an abundant number, since it is smaller than the sum of its proper divisors (16857957120).

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

7642974720 is a wasteful number, since it uses less digits than its factorization.

7642974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The square root of 7642974720 is about 87424.1083454673. The cubic root of 7642974720 is about 1969.7939884377.

The spelling of 7642974720 in words is "seven billion, six hundred forty-two million, nine hundred seventy-four thousand, seven hundred twenty".