642926818800 has 480 divisors, whose sum is σ = 2699622133760. Its totient is φ = 142213708800.

The previous prime is 642926818777. The next prime is 642926818801. The reversal of 642926818800 is 8818629246.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642926818801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2206434 + ... + 2480766.

Almost surely, 2^642926818800 is an apocalyptic number.

642926818800 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 642926818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349811066880).

642926818800 is an abundant number, since it is smaller than the sum of its proper divisors (2056695314960).

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

642926818800 is a wasteful number, since it uses less digits than its factorization.

642926818800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274398 (or 274381 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 642926818800 in words is "six hundred forty-two billion, nine hundred twenty-six million, eight hundred eighteen thousand, eight hundred".