7921040064 has 112 divisors (see below), whose sum is σ = 23974153728. Its totient is φ = 2261035008.

The previous prime is 7921040063. The next prime is 7921040087. The reversal of 7921040064 is 4600401297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (7921040063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1942732 + ... + 1946804.

It is an arithmetic number, because the mean of its divisors is an integer number (214054944).

Almost surely, 2^7921040064 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 7921040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987076864).

7921040064 is an abundant number, since it is smaller than the sum of its proper divisors (16053113664).

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

7921040064 is a wasteful number, since it uses less digits than its factorization.

7921040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7921040064 is about 89000.2250783671. The cubic root of 7921040064 is about 1993.3982376776.

The spelling of 7921040064 in words is "seven billion, nine hundred twenty-one million, forty thousand, sixty-four".