40564579680 has 240 divisors, whose sum is σ = 144258017904. Its totient is φ = 10734197760.

The previous prime is 40564579651. The next prime is 40564579729. The reversal of 40564579680 is 8697546504.

40564579680 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 4 + 579 + 68 + 0 = 666.

40564579680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 1685814 + ... + 1709706.

Almost surely, 2^40564579680 is an apocalyptic number.

40564579680 is a gapful number since it is divisible by the number (40) 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 40564579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72129008952).

40564579680 is an abundant number, since it is smaller than the sum of its proper divisors (103693438224).

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

40564579680 is a wasteful number, since it uses less digits than its factorization.

40564579680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24051 (or 24034 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 40564579680 in words is "forty billion, five hundred sixty-four million, five hundred seventy-nine thousand, six hundred eighty".