634101540089472 has 1024 divisors, whose sum is σ = 2353898520960000. Its totient is φ = 166984347156480.

The previous prime is 634101540089471. The next prime is 634101540089491. The reversal of 634101540089472 is 274980045101436.

634101540089472 is a `hidden beast` number, since 6 + 3 + 4 + 1 + 0 + 1 + 540 + 0 + 8 + 94 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (634101540089471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10371104022 + ... + 10371165162.

It is an arithmetic number, because the mean of its divisors is an integer number (2298729024375).

It is a 1-persistent number, because it is pandigital, but 2⋅634101540089472 = 1268203080178944 is not.

Almost surely, 2^{634101540089472} 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 634101540089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176949260480000).

634101540089472 is an abundant number, since it is smaller than the sum of its proper divisors (1719796980870528).

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

634101540089472 is a wasteful number, since it uses less digits than its factorization.

634101540089472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61871 (or 61839 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 634101540089472 in words is "six hundred thirty-four trillion, one hundred one billion, five hundred forty million, eighty-nine thousand, four hundred seventy-two".