79374919680 has 1344 divisors, whose sum is σ = 343744128000. Its totient is φ = 17557585920.

The previous prime is 79374919667. The next prime is 79374919693. The reversal of 79374919680 is 8691947397.

79374919680 is a `hidden beast` number, since 79 + 374 + 9 + 196 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79374919667) and next prime (79374919693).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2560481265 + ... + 2560481295.

It is an arithmetic number, because the mean of its divisors is an integer number (255762000).

Almost surely, 2^79374919680 is an apocalyptic number.

79374919680 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 79374919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171872064000).

79374919680 is an abundant number, since it is smaller than the sum of its proper divisors (264369208320).

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

79374919680 is an frugal number, since it uses more digits than its factorization.

79374919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 79374919680 in words is "seventy-nine billion, three hundred seventy-four million, nine hundred nineteen thousand, six hundred eighty".