634080980736 has 1008 divisors, whose sum is σ = 2255003101120. Its totient is φ = 174142586880.

The previous prime is 634080980707. The next prime is 634080980761. The reversal of 634080980736 is 637089080436.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×634080980736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5817256650 + ... + 5817256758.

Almost surely, 2^634080980736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634080980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127501550560).

634080980736 is an abundant number, since it is smaller than the sum of its proper divisors (1620922120384).

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

634080980736 is an equidigital number, since it uses as much as digits as its factorization.

634080980736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 634080980736 in words is "six hundred thirty-four billion, eighty million, nine hundred eighty thousand, seven hundred thirty-six".