32265549872640 has 3840 divisors, whose sum is σ = 146770382094336. Its totient is φ = 6381423820800.

The previous prime is 32265549872627. The next prime is 32265549872651. The reversal of 32265549872640 is 4627894556223.

32265549872640 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 5 + 549 + 87 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 163784517022 + ... + 163784517218.

Almost surely, 2^{32265549872640} is an apocalyptic number.

32265549872640 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 32265549872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73385191047168).

32265549872640 is an abundant number, since it is smaller than the sum of its proper divisors (114504832221696).

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

32265549872640 is a wasteful number, since it uses less digits than its factorization.

32265549872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 32265549872640 in words is "thirty-two trillion, two hundred sixty-five billion, five hundred forty-nine million, eight hundred seventy-two thousand, six hundred forty".