634777965040 has 80 divisors (see below), whose sum is σ = 1501346988000. Its totient is φ = 249528836096.

The previous prime is 634777965037. The next prime is 634777965071. The reversal of 634777965040 is 40569777436.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×634777965040³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16259784 + ... + 16298776.

It is an arithmetic number, because the mean of its divisors is an integer number (18766837350).

Almost surely, 2^634777965040 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 634777965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750673494000).

634777965040 is an abundant number, since it is smaller than the sum of its proper divisors (866569022960).

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

634777965040 is a wasteful number, since it uses less digits than its factorization.

634777965040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42514 (or 42508 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 58.

The spelling of 634777965040 in words is "six hundred thirty-four billion, seven hundred seventy-seven million, nine hundred sixty-five thousand, forty".