84617901972 has 72 divisors (see below), whose sum is σ = 225362009600. Its totient is φ = 26696625408.

The previous prime is 84617901967. The next prime is 84617901989. The reversal of 84617901972 is 27910971648.

84617901972 is a `hidden beast` number, since 8 + 4 + 617 + 9 + 0 + 19 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686604 + ... + 800412.

Almost surely, 2^84617901972 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 84617901972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112681004800).

84617901972 is an abundant number, since it is smaller than the sum of its proper divisors (140744107628).

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

84617901972 is a wasteful number, since it uses less digits than its factorization.

84617901972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114925 (or 114920 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 84617901972 in words is "eighty-four billion, six hundred seventeen million, nine hundred one thousand, nine hundred seventy-two".