642991676040 has 896 divisors, whose sum is σ = 2699902368000. Its totient is φ = 134409590784.

The previous prime is 642991676017. The next prime is 642991676053. The reversal of 642991676040 is 40676199246.

It is a happy number.

642991676040 is a `hidden beast` number, since 6 + 4 + 29 + 9 + 1 + 6 + 7 + 604 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 112467262 + ... + 112472978.

Almost surely, 2^642991676040 is an apocalyptic number.

642991676040 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 642991676040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349951184000).

642991676040 is an abundant number, since it is smaller than the sum of its proper divisors (2056910691960).

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

642991676040 is a wasteful number, since it uses less digits than its factorization.

642991676040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 642991676040 in words is "six hundred forty-two billion, nine hundred ninety-one million, six hundred seventy-six thousand, forty".