84652935494400 has 6912 divisors, whose sum is σ = 427304917401600. Its totient is φ = 15892123484160.

The previous prime is 84652935494353. The next prime is 84652935494417. The reversal of 84652935494400 is 449453925648.

84652935494400 is a `hidden beast` number, since 8 + 4 + 6 + 5 + 2 + 93 + 54 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×84652935494400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 666558547137 + ... + 666558547263.

Almost surely, 2^{84652935494400} is an apocalyptic number.

84652935494400 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 84652935494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213652458700800).

84652935494400 is an abundant number, since it is smaller than the sum of its proper divisors (342651981907200).

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

84652935494400 is a wasteful number, since it uses less digits than its factorization.

84652935494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 84652935494400 in words is "eighty-four trillion, six hundred fifty-two billion, nine hundred thirty-five million, four hundred ninety-four thousand, four hundred".