642074040 has 224 divisors, whose sum is σ = 2197979280. Its totient is φ = 168708096.

The previous prime is 642074039. The next prime is 642074051. The reversal of 642074040 is 40470246.

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

It is a junction number, because it is equal to n+sod(n) for n = 642073995 and 642074013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2828407 + ... + 2828633.

Almost surely, 2^642074040 is an apocalyptic number.

642074040 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 642074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098989640).

642074040 is an abundant number, since it is smaller than the sum of its proper divisors (1555905240).

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

642074040 is a wasteful number, since it uses less digits than its factorization.

642074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 642074040 is about 25339.1799393745. The cubic root of 642074040 is about 862.7037854956.

The spelling of 642074040 in words is "six hundred forty-two million, seventy-four thousand, forty".