79954947072 has 1232 divisors, whose sum is σ = 324758875392. Its totient is φ = 18990858240.

The previous prime is 79954947053. The next prime is 79954947139. The reversal of 79954947072 is 27074945997.

79954947072 is a `hidden beast` number, since 7 + 9 + 9 + 5 + 494 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a super-2 number, since 2×79954947072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 747242443 + ... + 747242549.

Almost surely, 2^79954947072 is an apocalyptic number.

79954947072 is a gapful number since it is divisible by the number (72) 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 79954947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162379437696).

79954947072 is an abundant number, since it is smaller than the sum of its proper divisors (244803928320).

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

79954947072 is a wasteful number, since it uses less digits than its factorization.

79954947072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 79954947072 in words is "seventy-nine billion, nine hundred fifty-four million, nine hundred forty-seven thousand, seventy-two".