637428960 has 384 divisors, whose sum is σ = 2586608640. Its totient is φ = 143603712.

The previous prime is 637428931. The next prime is 637428973. The reversal of 637428960 is 69824736.

637428960 is a `hidden beast` number, since 637 + 4 + 2 + 8 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3235582 + ... + 3235778.

It is an arithmetic number, because the mean of its divisors is an integer number (6735960).

Almost surely, 2^637428960 is an apocalyptic number.

637428960 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 637428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293304320).

637428960 is an abundant number, since it is smaller than the sum of its proper divisors (1949179680).

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

637428960 is a wasteful number, since it uses less digits than its factorization.

637428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 637428960 is about 25247.3555050821. The cubic root of 637428960 is about 860.6183402354.

The spelling of 637428960 in words is "six hundred thirty-seven million, four hundred twenty-eight thousand, nine hundred sixty".