84027600000 has 576 divisors, whose sum is σ = 320239581480. Its totient is φ = 21073920000.

The previous prime is 84027599989. The next prime is 84027600047. The reversal of 84027600000 is 672048.

It can be written as a sum of positive squares in 12 ways, for example, as 5596236864 + 78431363136 = 74808^2 + 280056^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61199314 + ... + 61200686.

Almost surely, 2^84027600000 is an apocalyptic number.

84027600000 is a gapful number since it is divisible by the number (80) 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 84027600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160119790740).

84027600000 is an abundant number, since it is smaller than the sum of its proper divisors (236211981480).

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

84027600000 is a wasteful number, since it uses less digits than its factorization.

84027600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 84027600000 in words is "eighty-four billion, twenty-seven million, six hundred thousand".