84279605760 has 800 divisors, whose sum is σ = 356304909312. Its totient is φ = 18632540160.

The previous prime is 84279605759. The next prime is 84279605849. The reversal of 84279605760 is 6750697248.

84279605760 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 9 + 60 + 576 + 0 = 666.

It is a super-2 number, since 2×84279605760² (a number of 23 digits) contains 22 as substring.

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 = 84279605697 and 84279605706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44996184 + ... + 44998056.

Almost surely, 2^84279605760 is an apocalyptic number.

84279605760 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 84279605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178152454656).

84279605760 is an abundant number, since it is smaller than the sum of its proper divisors (272025303552).

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

84279605760 is a wasteful number, since it uses less digits than its factorization.

84279605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 84279605760 in words is "eighty-four billion, two hundred seventy-nine million, six hundred five thousand, seven hundred sixty".