7928346624 has 192 divisors, whose sum is σ = 23389067520. Its totient is φ = 2368143360.

The previous prime is 7928346623. The next prime is 7928346637. The reversal of 7928346624 is 4266438297.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7928346623) 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, 4932829 + ... + 4934435.

It is an arithmetic number, because the mean of its divisors is an integer number (121818060).

Almost surely, 2^7928346624 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 7928346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694533760).

7928346624 is an abundant number, since it is smaller than the sum of its proper divisors (15460720896).

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

7928346624 is a wasteful number, since it uses less digits than its factorization.

7928346624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1696 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 7928346624 is about 89041.2636028937. The cubic root of 7928346624 is about 1994.0109689886.

The spelling of 7928346624 in words is "seven billion, nine hundred twenty-eight million, three hundred forty-six thousand, six hundred twenty-four".