7924168980 has 576 divisors, whose sum is σ = 31426106880. Its totient is φ = 1613924352.

The previous prime is 7924168963. The next prime is 7924169009. The reversal of 7924168980 is 898614297.

7924168980 is a `hidden beast` number, since 79 + 2 + 416 + 89 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108550224 + ... + 108550296.

Almost surely, 2^7924168980 is an apocalyptic number.

7924168980 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 7924168980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713053440).

7924168980 is an abundant number, since it is smaller than the sum of its proper divisors (23501937900).

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

7924168980 is a wasteful number, since it uses less digits than its factorization.

7924168980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 7924168980 is about 89017.8014781313. The cubic root of 7924168980 is about 1993.6606760491.

The spelling of 7924168980 in words is "seven billion, nine hundred twenty-four million, one hundred sixty-eight thousand, nine hundred eighty".