634726055040 has 640 divisors, whose sum is σ = 2575020697920. Its totient is φ = 131880591360.

The previous prime is 634726055017. The next prime is 634726055071. The reversal of 634726055040 is 40550627436.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×634726055040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 634726054983 and 634726055001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50702862 + ... + 50715378.

Almost surely, 2^634726055040 is an apocalyptic number.

634726055040 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 634726055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287510348960).

634726055040 is an abundant number, since it is smaller than the sum of its proper divisors (1940294642880).

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

634726055040 is a wasteful number, since it uses less digits than its factorization.

634726055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12578 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 634726055040 in words is "six hundred thirty-four billion, seven hundred twenty-six million, fifty-five thousand, forty".