634969810944 has 288 divisors, whose sum is σ = 2108085557760. Its totient is φ = 180364935168.

The previous prime is 634969810901. The next prime is 634969811027. The reversal of 634969810944 is 449018969436.

634969810944 is a `hidden beast` number, since 6 + 3 + 496 + 98 + 10 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×634969810944² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22306929 + ... + 22335375.

It is an arithmetic number, because the mean of its divisors is an integer number (7319741520).

Almost surely, 2^634969810944 is an apocalyptic number.

634969810944 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 634969810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054042778880).

634969810944 is an abundant number, since it is smaller than the sum of its proper divisors (1473115746816).

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

634969810944 is a wasteful number, since it uses less digits than its factorization.

634969810944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28655 (or 28632 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 634969810944 in words is "six hundred thirty-four billion, nine hundred sixty-nine million, eight hundred ten thousand, nine hundred forty-four".