40684013568 has 576 divisors, whose sum is σ = 137985120000. Its totient is φ = 11417518080.

The previous prime is 40684013459. The next prime is 40684013581. The reversal of 40684013568 is 86531048604.

40684013568 is a `hidden beast` number, since 4 + 0 + 6 + 84 + 0 + 1 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227284903 + ... + 227285081.

It is an arithmetic number, because the mean of its divisors is an integer number (239557500).

Almost surely, 2^40684013568 is an apocalyptic number.

40684013568 is a gapful number since it is divisible by the number (48) 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 40684013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992560000).

40684013568 is an abundant number, since it is smaller than the sum of its proper divisors (97301106432).

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

40684013568 is a wasteful number, since it uses less digits than its factorization.

40684013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40684013568 in words is "forty billion, six hundred eighty-four million, thirteen thousand, five hundred sixty-eight".