642254400 has 168 divisors, whose sum is σ = 2341412640. Its totient is φ = 171256320.

The previous prime is 642254383. The next prime is 642254411. The reversal of 642254400 is 4452246.

642254400 is a `hidden beast` number, since 6 + 4 + 2 + 254 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35767 + ... + 50633.

It is an arithmetic number, because the mean of its divisors is an integer number (13936980).

Almost surely, 2^642254400 is an apocalyptic number.

642254400 is a gapful number since it is divisible by the number (60) 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 642254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170706320).

642254400 is an abundant number, since it is smaller than the sum of its proper divisors (1699158240).

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

642254400 is a wasteful number, since it uses less digits than its factorization.

642254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14898 (or 14877 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 642254400 is about 25342.7386049732. The cubic root of 642254400 is about 862.7845563923.

The spelling of 642254400 in words is "six hundred forty-two million, two hundred fifty-four thousand, four hundred".