4000764481776 has 100 divisors (see below), whose sum is σ = 11580721539112. Its totient is φ = 1333432865664.

The previous prime is 4000764481751. The next prime is 4000764481781. The reversal of 4000764481776 is 6771844670004.

4000764481776 is a `hidden beast` number, since 400 + 0 + 7 + 64 + 4 + 8 + 177 + 6 = 666.

It is a super-2 number, since 2×4000764481776² (a number of 26 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 11233350 + ... + 11584026.

Almost surely, 2^{4000764481776} is an apocalyptic number.

It is an amenable number.

4000764481776 is an abundant number, since it is smaller than the sum of its proper divisors (7579957057336).

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

4000764481776 is a wasteful number, since it uses less digits than its factorization.

4000764481776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359500 (or 359485 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 4000764481776 in words is "four trillion, seven hundred sixty-four million, four hundred eighty-one thousand, seven hundred seventy-six".