3263561072640 has 1440 divisors, whose sum is σ = 13373873162496. Its totient is φ = 756767784960.

The previous prime is 3263561072593. The next prime is 3263561072659. The reversal of 3263561072640 is 462701653623.

3263561072640 is a `hidden beast` number, since 3 + 2 + 6 + 3 + 5 + 610 + 7 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3263561072640² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141893959669 + ... + 141893959691.

Almost surely, 2^{3263561072640} is an apocalyptic number.

3263561072640 is a gapful number since it is divisible by the number (30) 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 3263561072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686936581248).

3263561072640 is an abundant number, since it is smaller than the sum of its proper divisors (10110312089856).

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

3263561072640 is an frugal number, since it uses more digits than its factorization.

3263561072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3263561072640 in words is "three trillion, two hundred sixty-three billion, five hundred sixty-one million, seventy-two thousand, six hundred forty".