637620480 has 216 divisors, whose sum is σ = 2521576512. Its totient is φ = 145723392.

The previous prime is 637620463. The next prime is 637620491. The reversal of 637620480 is 84026736.

637620480 is a `hidden beast` number, since 6 + 376 + 204 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76687 + ... + 84593.

Almost surely, 2^637620480 is an apocalyptic number.

637620480 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 637620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260788256).

637620480 is an abundant number, since it is smaller than the sum of its proper divisors (1883956032).

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

637620480 is a wasteful number, since it uses less digits than its factorization.

637620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7941 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 637620480 is about 25251.1480927106. The cubic root of 637620480 is about 860.7045245425.

The spelling of 637620480 in words is "six hundred thirty-seven million, six hundred twenty thousand, four hundred eighty".