3664240272576 has 336 divisors, whose sum is σ = 11682272718720. Its totient is φ = 1125746519040.

The previous prime is 3664240272527. The next prime is 3664240272617. The reversal of 3664240272576 is 6752720424663.

3664240272576 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 2 + 40 + 27 + 2 + 576 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199448671 + ... + 199467041.

Almost surely, 2^{3664240272576} is an apocalyptic number.

3664240272576 is a gapful number since it is divisible by the number (36) 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 3664240272576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841136359360).

3664240272576 is an abundant number, since it is smaller than the sum of its proper divisors (8018032446144).

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

3664240272576 is a wasteful number, since it uses less digits than its factorization.

3664240272576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19101 (or 19072 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 3664240272576 in words is "three trillion, six hundred sixty-four billion, two hundred forty million, two hundred seventy-two thousand, five hundred seventy-six".