79624492147200 has 1920 divisors, whose sum is σ = 353894429306880. Its totient is φ = 15241111142400.

The previous prime is 79624492147103. The next prime is 79624492147307. The reversal of 79624492147200 is 274129442697.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 21410186941 + ... + 21410190659.

It is an arithmetic number, because the mean of its divisors is an integer number (184320015264).

Almost surely, 2^{79624492147200} is an apocalyptic number.

79624492147200 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 79624492147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176947214653440).

79624492147200 is an abundant number, since it is smaller than the sum of its proper divisors (274269937159680).

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

79624492147200 is a wasteful number, since it uses less digits than its factorization.

79624492147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 79624492147200 in words is "seventy-nine trillion, six hundred twenty-four billion, four hundred ninety-two million, one hundred forty-seven thousand, two hundred".