642733106400 has 864 divisors, whose sum is σ = 2833149166848. Its totient is φ = 133202534400.

The previous prime is 642733106383. The next prime is 642733106429. The reversal of 642733106400 is 4601337246.

It is a happy number.

642733106400 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 3 + 3 + 1 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 245597892 + ... + 245600508.

It is an arithmetic number, because the mean of its divisors is an integer number (3279107832).

Almost surely, 2^642733106400 is an apocalyptic number.

642733106400 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 642733106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416574583424).

642733106400 is an abundant number, since it is smaller than the sum of its proper divisors (2190416060448).

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

642733106400 is a wasteful number, since it uses less digits than its factorization.

642733106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 642733106400 in words is "six hundred forty-two billion, seven hundred thirty-three million, one hundred six thousand, four hundred".