4000695367680 has 1728 divisors, whose sum is σ = 16051900999680. Its totient is φ = 919683072000.

The previous prime is 4000695367679. The next prime is 4000695367763. The reversal of 4000695367680 is 867635960004.

4000695367680 is a `hidden beast` number, since 40 + 0 + 0 + 6 + 9 + 536 + 7 + 68 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 24544143279 + ... + 24544143441.

It is an arithmetic number, because the mean of its divisors is an integer number (9289294560).

Almost surely, 2^{4000695367680} is an apocalyptic number.

4000695367680 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 4000695367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025950499840).

4000695367680 is an abundant number, since it is smaller than the sum of its proper divisors (12051205632000).

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

4000695367680 is a wasteful number, since it uses less digits than its factorization.

4000695367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4000695367680 in words is "four trillion, six hundred ninety-five million, three hundred sixty-seven thousand, six hundred eighty".