79629089904 has 640 divisors, whose sum is σ = 301740687360. Its totient is φ = 19752284160.

The previous prime is 79629089879. The next prime is 79629089963. The reversal of 79629089904 is 40998092697.

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 127 ways as a sum of consecutive naturals, for example, 54131889 + ... + 54133359.

It is an arithmetic number, because the mean of its divisors is an integer number (471469824).

Almost surely, 2^79629089904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79629089904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150870343680).

79629089904 is an abundant number, since it is smaller than the sum of its proper divisors (222111597456).

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

79629089904 is a wasteful number, since it uses less digits than its factorization.

79629089904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 79629089904 in words is "seventy-nine billion, six hundred twenty-nine million, eighty-nine thousand, nine hundred four".