3564623816640 has 560 divisors, whose sum is σ = 13437076910400. Its totient is φ = 893904519168.

The previous prime is 3564623816627. The next prime is 3564623816651. The reversal of 3564623816640 is 466183264653.

3564623816640 is a `hidden beast` number, since 3 + 5 + 6 + 4 + 623 + 8 + 1 + 6 + 6 + 4 + 0 = 666.

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

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, 686955166 + ... + 686960354.

Almost surely, 2^{3564623816640} is an apocalyptic number.

3564623816640 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 3564623816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718538455200).

3564623816640 is an abundant number, since it is smaller than the sum of its proper divisors (9872453093760).

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

3564623816640 is a wasteful number, since it uses less digits than its factorization.

3564623816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6775 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3564623816640 in words is "three trillion, five hundred sixty-four billion, six hundred twenty-three million, eight hundred sixteen thousand, six hundred forty".