84372295464 has 128 divisors (see below), whose sum is σ = 238760784000. Its totient is φ = 27600072192.

The previous prime is 84372295457. The next prime is 84372295487. The reversal of 84372295464 is 46459227348.

It is a happy number.

84372295464 is a `hidden beast` number, since 8 + 4 + 3 + 72 + 29 + 546 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 84372295464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3882132 + ... + 3903804.

It is an arithmetic number, because the mean of its divisors is an integer number (1865318625).

Almost surely, 2^84372295464 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 84372295464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119380392000).

84372295464 is an abundant number, since it is smaller than the sum of its proper divisors (154388488536).

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

84372295464 is a wasteful number, since it uses less digits than its factorization.

84372295464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22024 (or 22014 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 84372295464 in words is "eighty-four billion, three hundred seventy-two million, two hundred ninety-five thousand, four hundred sixty-four".