40075645680 has 360 divisors, whose sum is σ = 160207839792. Its totient is φ = 8946782208.

The previous prime is 40075645669. The next prime is 40075645697. The reversal of 40075645680 is 8654657004.

40075645680 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 564 + 5 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1503832 + ... + 1530248.

Almost surely, 2^40075645680 is an apocalyptic number.

40075645680 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 40075645680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80103919896).

40075645680 is an abundant number, since it is smaller than the sum of its proper divisors (120132194112).

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

40075645680 is a wasteful number, since it uses less digits than its factorization.

40075645680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26493 (or 26477 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 40075645680 in words is "forty billion, seventy-five million, six hundred forty-five thousand, six hundred eighty".