1656542664 has 384 divisors, whose sum is σ = 5765760000. Its totient is φ = 435020544.

The previous prime is 1656542663. The next prime is 1656542737. The reversal of 1656542664 is 4662456561.

1656542664 is a `hidden beast` number, since 1 + 6 + 565 + 4 + 26 + 64 = 666.

1656542664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656542663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11117662 + ... + 11117810.

It is an arithmetic number, because the mean of its divisors is an integer number (15015000).

Almost surely, 2^1656542664 is an apocalyptic number.

1656542664 is a gapful number since it is divisible by the number (14) 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 1656542664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880000).

1656542664 is an abundant number, since it is smaller than the sum of its proper divisors (4109217336).

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

1656542664 is a wasteful number, since it uses less digits than its factorization.

1656542664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 1656542664 is about 40700.6469727448. The cubic root of 1656542664 is about 1183.2255576687.

The spelling of 1656542664 in words is "one billion, six hundred fifty-six million, five hundred forty-two thousand, six hundred sixty-four".