7694072320 has 160 divisors (see below), whose sum is σ = 20240668800. Its totient is φ = 2781757440.

The previous prime is 7694072303. The next prime is 7694072327. The reversal of 7694072320 is 232704967.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7694072327) 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, 5603154 + ... + 5604526.

It is an arithmetic number, because the mean of its divisors is an integer number (126504180).

Almost surely, 2^7694072320 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 7694072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10120334400).

7694072320 is an abundant number, since it is smaller than the sum of its proper divisors (12546596480).

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

7694072320 is a wasteful number, since it uses less digits than its factorization.

7694072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 7694072320 is about 87715.8612794744. The cubic root of 7694072320 is about 1974.1739702216.

The spelling of 7694072320 in words is "seven billion, six hundred ninety-four million, seventy-two thousand, three hundred twenty".