6273634680 has 320 divisors, whose sum is σ = 21899354400. Its totient is φ = 1609666560.

The previous prime is 6273634667. The next prime is 6273634691. The reversal of 6273634680 is 864363726.

6273634680 is a `hidden beast` number, since 6 + 2 + 7 + 3 + 634 + 6 + 8 + 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 79 ways as a sum of consecutive naturals, for example, 11025436 + ... + 11026004.

Almost surely, 2^6273634680 is an apocalyptic number.

6273634680 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 6273634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949677200).

6273634680 is an abundant number, since it is smaller than the sum of its proper divisors (15625719720).

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

6273634680 is a wasteful number, since it uses less digits than its factorization.

6273634680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6273634680 is about 79206.2792965305. The cubic root of 6273634680 is about 1844.3347194878.

The spelling of 6273634680 in words is "six billion, two hundred seventy-three million, six hundred thirty-four thousand, six hundred eighty".