84072497515776 has 5184 divisors, whose sum is σ = 357811167436800. Its totient is φ = 19554761318400.

The previous prime is 84072497515739. The next prime is 84072497515817. The reversal of 84072497515776 is 67751579427048.

It is a happy number.

84072497515776 is a `hidden beast` number, since 8 + 4 + 0 + 7 + 2 + 49 + 7 + 5 + 1 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1955174360811 + ... + 1955174360853.

Almost surely, 2^{84072497515776} is an apocalyptic number.

84072497515776 is a gapful number since it is divisible by the number (86) 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 84072497515776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178905583718400).

84072497515776 is an abundant number, since it is smaller than the sum of its proper divisors (273738669921024).

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

84072497515776 is a wasteful number, since it uses less digits than its factorization.

84072497515776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 829785600, while the sum is 72.

The spelling of 84072497515776 in words is "eighty-four trillion, seventy-two billion, four hundred ninety-seven million, five hundred fifteen thousand, seven hundred seventy-six".