84400187664 has 80 divisors (see below), whose sum is σ = 235607545152. Its totient is φ = 25880600064.

The previous prime is 84400187659. The next prime is 84400187687. The reversal of 84400187664 is 46678100448.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47982 + ... + 413645.

Almost surely, 2^84400187664 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 84400187664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117803772576).

84400187664 is an abundant number, since it is smaller than the sum of its proper divisors (151207357488).

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

84400187664 is a wasteful number, since it uses less digits than its factorization.

84400187664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461944 (or 461938 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 84400187664 in words is "eighty-four billion, four hundred million, one hundred eighty-seven thousand, six hundred sixty-four".