84877722408960 has 2016 divisors, whose sum is σ = 348140830237200. Its totient is φ = 19787757649920.

The previous prime is 84877722408949. The next prime is 84877722409003. The reversal of 84877722408960 is 6980422777848.

It is a happy number.

84877722408960 is a `hidden beast` number, since 8 + 48 + 7 + 77 + 22 + 408 + 96 + 0 = 666.

It is a super-2 number, since 2×84877722408960² (a number of 29 digits) contains 22 as substring.

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 167 ways as a sum of consecutive naturals, for example, 23969984790 + ... + 23969988330.

Almost surely, 2^{84877722408960} is an apocalyptic number.

84877722408960 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 84877722408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174070415118600).

84877722408960 is an abundant number, since it is smaller than the sum of its proper divisors (263263107828240).

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

84877722408960 is a wasteful number, since it uses less digits than its factorization.

84877722408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 84877722408960 in words is "eighty-four trillion, eight hundred seventy-seven billion, seven hundred twenty-two million, four hundred eight thousand, nine hundred sixty".