3664115481600 has 2640 divisors, whose sum is σ = 16983164436480. Its totient is φ = 761226854400.

The previous prime is 3664115481563. The next prime is 3664115481601. The reversal of 3664115481600 is 61845114663.

3664115481600 is a `hidden beast` number, since 3 + 6 + 6 + 41 + 1 + 548 + 1 + 60 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664115481601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7649510161 + ... + 7649510639.

It is an arithmetic number, because the mean of its divisors is an integer number (6433016832).

Almost surely, 2^{3664115481600} is an apocalyptic number.

3664115481600 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 3664115481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491582218240).

3664115481600 is an abundant number, since it is smaller than the sum of its proper divisors (13319048954880).

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

3664115481600 is a wasteful number, since it uses less digits than its factorization.

3664115481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3664115481600 in words is "three trillion, six hundred sixty-four billion, one hundred fifteen million, four hundred eighty-one thousand, six hundred".