7916524980 has 576 divisors, whose sum is σ = 30153392640. Its totient is φ = 1509064704.

The previous prime is 7916524961. The next prime is 7916524981. The reversal of 7916524980 is 894256197.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7916524981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45760174 + ... + 45760346.

It is an arithmetic number, because the mean of its divisors is an integer number (52349640).

Almost surely, 2^7916524980 is an apocalyptic number.

7916524980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7916524980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076696320).

7916524980 is an abundant number, since it is smaller than the sum of its proper divisors (22236867660).

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

7916524980 is a wasteful number, since it uses less digits than its factorization.

7916524980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 7916524980 is about 88974.8558863683. The cubic root of 7916524980 is about 1993.0194123777.

The spelling of 7916524980 in words is "seven billion, nine hundred sixteen million, five hundred twenty-four thousand, nine hundred eighty".