79666437444048 has 1280 divisors, whose sum is σ = 305547732582400. Its totient is φ = 19288105482240.

The previous prime is 79666437444019. The next prime is 79666437444131. The reversal of 79666437444048 is 84044473466697.

It is a happy number.

It is a super-2 number, since 2×79666437444048² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4078964043 + ... + 4078983573.

It is an arithmetic number, because the mean of its divisors is an integer number (238709166080).

Almost surely, 2^{79666437444048} is an apocalyptic number.

79666437444048 is a gapful number since it is divisible by the number (78) 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 79666437444048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152773866291200).

79666437444048 is an abundant number, since it is smaller than the sum of its proper divisors (225881295138352).

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

79666437444048 is a wasteful number, since it uses less digits than its factorization.

79666437444048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19757 (or 19745 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 72.

The spelling of 79666437444048 in words is "seventy-nine trillion, six hundred sixty-six billion, four hundred thirty-seven million, four hundred forty-four thousand, forty-eight".