864572342400 has 1152 divisors, whose sum is σ = 3458060336640. Its totient is φ = 204241305600.

The previous prime is 864572342393. The next prime is 864572342401. The reversal of 864572342400 is 4243275468.

It is a happy number.

864572342400 is a `hidden beast` number, since 8 + 6 + 4 + 5 + 7 + 234 + 2 + 400 = 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 (45).

It is not an unprimeable number, because it can be changed into a prime (864572342401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1891842972 + ... + 1891843428.

Almost surely, 2^864572342400 is an apocalyptic number.

864572342400 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 864572342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729030168320).

864572342400 is an abundant number, since it is smaller than the sum of its proper divisors (2593487994240).

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

864572342400 is a wasteful number, since it uses less digits than its factorization.

864572342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 864572342400 in words is "eight hundred sixty-four billion, five hundred seventy-two million, three hundred forty-two thousand, four hundred".