633272552640 has 672 divisors, whose sum is σ = 2699012534400. Its totient is φ = 132708630528.

The previous prime is 633272552621. The next prime is 633272552683. The reversal of 633272552640 is 46255272336.

633272552640 is a `hidden beast` number, since 6 + 3 + 32 + 7 + 2 + 552 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 39041812 + ... + 39058028.

It is an arithmetic number, because the mean of its divisors is an integer number (4016387700).

Almost surely, 2^633272552640 is an apocalyptic number.

633272552640 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 633272552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349506267200).

633272552640 is an abundant number, since it is smaller than the sum of its proper divisors (2065739981760).

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

633272552640 is a wasteful number, since it uses less digits than its factorization.

633272552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16409 (or 16396 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 633272552640 in words is "six hundred thirty-three billion, two hundred seventy-two million, five hundred fifty-two thousand, six hundred forty".