642799942041600 has 1428 divisors, whose sum is σ = 2731583153860896. Its totient is φ = 146923790008320.

The previous prime is 642799942041583. The next prime is 642799942041671. The reversal of 642799942041600 is 6140249997246.

642799942041600 is a `hidden beast` number, since 6 + 4 + 27 + 9 + 99 + 420 + 41 + 60 + 0 = 666.

It is a super-2 number, since 2×642799942041600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8360716759 + ... + 8360793641.

Almost surely, 2^{642799942041600} is an apocalyptic number.

642799942041600 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 642799942041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365791576930448).

642799942041600 is an abundant number, since it is smaller than the sum of its proper divisors (2088783211819296).

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

642799942041600 is an frugal number, since it uses more digits than its factorization.

642799942041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76950 (or 76900 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 642799942041600 in words is "six hundred forty-two trillion, seven hundred ninety-nine billion, nine hundred forty-two million, forty-one thousand, six hundred".