864746133098400 has 1440 divisors, whose sum is σ = 3958704486696960. Its totient is φ = 179111809198080.

The previous prime is 864746133098359. The next prime is 864746133098431. The reversal of 864746133098400 is 4890331647468.

It is a happy number.

864746133098400 is a `hidden beast` number, since 8 + 6 + 4 + 7 + 4 + 6 + 133 + 0 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 196041957 + ... + 200404443.

It is an arithmetic number, because the mean of its divisors is an integer number (2749100337984).

Almost surely, 2^{864746133098400} is an apocalyptic number.

864746133098400 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 864746133098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979352243348480).

864746133098400 is an abundant number, since it is smaller than the sum of its proper divisors (3093958353598560).

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

864746133098400 is a wasteful number, since it uses less digits than its factorization.

864746133098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362568 (or 4362546 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 864746133098400 in words is "eight hundred sixty-four trillion, seven hundred forty-six billion, one hundred thirty-three million, ninety-eight thousand, four hundred".