634999357440 has 1680 divisors, whose sum is σ = 2750540620800. Its totient is φ = 140460687360.

The previous prime is 634999357417. The next prime is 634999357457. The reversal of 634999357440 is 44753999436.

634999357440 is a `hidden beast` number, since 6 + 3 + 499 + 9 + 35 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20483850225 + ... + 20483850255.

It is an arithmetic number, because the mean of its divisors is an integer number (1637226560).

Almost surely, 2^634999357440 is an apocalyptic number.

634999357440 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 634999357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375270310400).

634999357440 is an abundant number, since it is smaller than the sum of its proper divisors (2115541263360).

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

634999357440 is an frugal number, since it uses more digits than its factorization.

634999357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 634999357440 in words is "six hundred thirty-four billion, nine hundred ninety-nine million, three hundred fifty-seven thousand, four hundred forty".