1664552736 has 216 divisors, whose sum is σ = 6007541904. Its totient is φ = 432311040.

The previous prime is 1664552713. The next prime is 1664552737. The reversal of 1664552736 is 6372554661.

1664552736 is a `hidden beast` number, since 1 + 6 + 64 + 552 + 7 + 36 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1664552691 and 1664552700.

It is not an unprimeable number, because it can be changed into a prime (1664552737) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149871 + ... + 160593.

It is an arithmetic number, because the mean of its divisors is an integer number (27812694).

Almost surely, 2^1664552736 is an apocalyptic number.

1664552736 is a gapful number since it is divisible by the number (16) 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 1664552736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003770952).

1664552736 is an abundant number, since it is smaller than the sum of its proper divisors (4342989168).

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

1664552736 is a wasteful number, since it uses less digits than its factorization.

1664552736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10764 (or 10746 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 1664552736 is about 40798.9305742197. The cubic root of 1664552736 is about 1185.1296210289.

The spelling of 1664552736 in words is "one billion, six hundred sixty-four million, five hundred fifty-two thousand, seven hundred thirty-six".