637980480 has 336 divisors, whose sum is σ = 2353665600. Its totient is φ = 158146560.

The previous prime is 637980479. The next prime is 637980481. The reversal of 637980480 is 84089736.

It is a happy number.

637980480 is a `hidden beast` number, since 637 + 9 + 8 + 0 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (637980479) and next prime (637980481).

It is a super-2 number, since 2×637980480² = 814038185722060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (637980481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4870015 + ... + 4870145.

Almost surely, 2^637980480 is an apocalyptic number.

637980480 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 637980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176832800).

637980480 is an abundant number, since it is smaller than the sum of its proper divisors (1715685120).

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

637980480 is a wasteful number, since it uses less digits than its factorization.

637980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 637980480 is about 25258.2754755743. The cubic root of 637980480 is about 860.8664784228.

The spelling of 637980480 in words is "six hundred thirty-seven million, nine hundred eighty thousand, four hundred eighty".