634040390880 has 384 divisors, whose sum is σ = 2411793014400. Its totient is φ = 154638139392.

The previous prime is 634040390861. The next prime is 634040390923. The reversal of 634040390880 is 88093040436.

634040390880 is a `hidden beast` number, since 634 + 0 + 4 + 0 + 3 + 9 + 0 + 8 + 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 63 ways as a sum of consecutive naturals, for example, 6069652 + ... + 6173228.

It is an arithmetic number, because the mean of its divisors is an integer number (6280710975).

Almost surely, 2^634040390880 is an apocalyptic number.

634040390880 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 634040390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205896507200).

634040390880 is an abundant number, since it is smaller than the sum of its proper divisors (1777752623520).

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

634040390880 is a wasteful number, since it uses less digits than its factorization.

634040390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103723 (or 103709 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 634040390880 in words is "six hundred thirty-four billion, forty million, three hundred ninety thousand, eight hundred eighty".