79473139200 has 2160 divisors, whose sum is σ = 385678283760. Its totient is φ = 15885434880.

The previous prime is 79473139199. The next prime is 79473139201. The reversal of 79473139200 is 293137497.

It is an interprime number because it is at equal distance from previous prime (79473139199) and next prime (79473139201).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79473139201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4182796791 + ... + 4182796809.

It is an arithmetic number, because the mean of its divisors is an integer number (178554761).

Almost surely, 2^79473139200 is an apocalyptic number.

79473139200 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 79473139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192839141880).

79473139200 is an abundant number, since it is smaller than the sum of its proper divisors (306205144560).

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

79473139200 is a wasteful number, since it uses less digits than its factorization.

79473139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 79473139200 in words is "seventy-nine billion, four hundred seventy-three million, one hundred thirty-nine thousand, two hundred".