3732146543664 has 960 divisors, whose sum is σ = 14104097280000. Its totient is φ = 892174694400.

The previous prime is 3732146543651. The next prime is 3732146543669. The reversal of 3732146543664 is 4663456412373.

It is a happy number.

3732146543664 is a `hidden beast` number, since 3 + 7 + 3 + 2 + 146 + 5 + 436 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3732146543664.

It is not an unprimeable number, because it can be changed into a prime (3732146543669) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1066630587 + ... + 1066634085.

It is an arithmetic number, because the mean of its divisors is an integer number (14691768000).

Almost surely, 2^{3732146543664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3732146543664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052048640000).

3732146543664 is an abundant number, since it is smaller than the sum of its proper divisors (10371950736336).

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

3732146543664 is a wasteful number, since it uses less digits than its factorization.

3732146543664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3685 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 3732146543664 in words is "three trillion, seven hundred thirty-two billion, one hundred forty-six million, five hundred forty-three thousand, six hundred sixty-four".