634404838280640 has 896 divisors, whose sum is σ = 2532204257034240. Its totient is φ = 131209256927232.

The previous prime is 634404838280561. The next prime is 634404838280711. The reversal of 634404838280640 is 46082838404436.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2005566972 + ... + 2005883268.

Almost surely, 2^{634404838280640} is an apocalyptic number.

634404838280640 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 634404838280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266102128517120).

634404838280640 is an abundant number, since it is smaller than the sum of its proper divisors (1897799418753600).

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

634404838280640 is a wasteful number, since it uses less digits than its factorization.

634404838280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317049 (or 317039 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 60.

The spelling of 634404838280640 in words is "six hundred thirty-four trillion, four hundred four billion, eight hundred thirty-eight million, two hundred eighty thousand, six hundred forty".