634280984064 has 960 divisors, whose sum is σ = 2342190090240. Its totient is φ = 160791920640.

The previous prime is 634280984041. The next prime is 634280984087. The reversal of 634280984064 is 460489082436.

It is an interprime number because it is at equal distance from previous prime (634280984041) and next prime (634280984087).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 634280984064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1358203159 + ... + 1358203625.

It is an arithmetic number, because the mean of its divisors is an integer number (2439781344).

Almost surely, 2^634280984064 is an apocalyptic number.

634280984064 is a gapful number since it is divisible by the number (64) 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 634280984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171095045120).

634280984064 is an abundant number, since it is smaller than the sum of its proper divisors (1707909106176).

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

634280984064 is a wasteful number, since it uses less digits than its factorization.

634280984064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 634280984064 in words is "six hundred thirty-four billion, two hundred eighty million, nine hundred eighty-four thousand, sixty-four".