642174720 has 288 divisors, whose sum is σ = 2338205184. Its totient is φ = 148684800.

The previous prime is 642174671. The next prime is 642174721. The reversal of 642174720 is 27471246.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642174721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971190 + ... + 971850.

It is an arithmetic number, because the mean of its divisors is an integer number (8118768).

Almost surely, 2^642174720 is an apocalyptic number.

642174720 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 642174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169102592).

642174720 is an abundant number, since it is smaller than the sum of its proper divisors (1696030464).

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

642174720 is a wasteful number, since it uses less digits than its factorization.

642174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 642174720 is about 25341.1665082727. The cubic root of 642174720 is about 862.7488750399.

The spelling of 642174720 in words is "six hundred forty-two million, one hundred seventy-four thousand, seven hundred twenty".