79210105632 has 288 divisors, whose sum is σ = 282896107200. Its totient is φ = 21440111616.

The previous prime is 79210105591. The next prime is 79210105649. The reversal of 79210105632 is 23650101297.

79210105632 is a `hidden beast` number, since 7 + 9 + 2 + 1 + 0 + 10 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755148 + ... + 853620.

It is an arithmetic number, because the mean of its divisors is an integer number (982278150).

Almost surely, 2^79210105632 is an apocalyptic number.

79210105632 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 79210105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141448053600).

79210105632 is an abundant number, since it is smaller than the sum of its proper divisors (203686001568).

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

79210105632 is a wasteful number, since it uses less digits than its factorization.

79210105632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98525 (or 98504 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 79210105632 in words is "seventy-nine billion, two hundred ten million, one hundred five thousand, six hundred thirty-two".