84515477760 has 1152 divisors, whose sum is σ = 366860390400. Its totient is φ = 18220474368.

The previous prime is 84515477749. The next prime is 84515477807. The reversal of 84515477760 is 6777451548.

84515477760 is a `hidden beast` number, since 8 + 451 + 54 + 77 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 84515477697 and 84515477706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 372314767 + ... + 372314993.

It is an arithmetic number, because the mean of its divisors is an integer number (318455200).

Almost surely, 2^84515477760 is an apocalyptic number.

84515477760 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 84515477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183430195200).

84515477760 is an abundant number, since it is smaller than the sum of its proper divisors (282344912640).

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

84515477760 is an equidigital number, since it uses as much as digits as its factorization.

84515477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 84515477760 in words is "eighty-four billion, five hundred fifteen million, four hundred seventy-seven thousand, seven hundred sixty".