4972075879680 has 2592 divisors, whose sum is σ = 22809209230080. Its totient is φ = 989170237440.

The previous prime is 4972075879663. The next prime is 4972075879709. The reversal of 4972075879680 is 869785702794.

4972075879680 is a `hidden beast` number, since 497 + 2 + 0 + 7 + 5 + 8 + 79 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4972075879599 and 4972075879608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15021377115 + ... + 15021377445.

It is an arithmetic number, because the mean of its divisors is an integer number (8799849240).

Almost surely, 2^{4972075879680} is an apocalyptic number.

4972075879680 is a gapful number since it is divisible by the number (40) 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 4972075879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404604615040).

4972075879680 is an abundant number, since it is smaller than the sum of its proper divisors (17837133350400).

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

4972075879680 is a wasteful number, since it uses less digits than its factorization.

4972075879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 4972075879680 in words is "four trillion, nine hundred seventy-two billion, seventy-five million, eight hundred seventy-nine thousand, six hundred eighty".