3564751680 has 784 divisors, whose sum is σ = 15191475840. Its totient is φ = 779341824.

The previous prime is 3564751667. The next prime is 3564751693. The reversal of 3564751680 is 861574653.

3564751680 is a `hidden beast` number, since 3 + 56 + 4 + 7 + 516 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3564751667) and next prime (3564751693).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 60419491 + ... + 60419549.

Almost surely, 2^3564751680 is an apocalyptic number.

3564751680 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 3564751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595737920).

3564751680 is an abundant number, since it is smaller than the sum of its proper divisors (11626724160).

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

3564751680 is an equidigital number, since it uses as much as digits as its factorization.

3564751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3564751680 is about 59705.5414513594. The cubic root of 3564751680 is about 1527.6003907365.

The spelling of 3564751680 in words is "three billion, five hundred sixty-four million, seven hundred fifty-one thousand, six hundred eighty".