4007601177664 has 112 divisors (see below), whose sum is σ = 9573317708800. Its totient is φ = 1662138455040.

The previous prime is 4007601177607. The next prime is 4007601177677. The reversal of 4007601177664 is 4667711067004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264037 + ... + 3625060.

Almost surely, 2^{4007601177664} is an apocalyptic number.

It is an amenable number.

4007601177664 is an abundant number, since it is smaller than the sum of its proper divisors (5565716531136).

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

4007601177664 is an equidigital number, since it uses as much as digits as its factorization.

4007601177664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889161 (or 5889137 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

The spelling of 4007601177664 in words is "four trillion, seven billion, six hundred one million, one hundred seventy-seven thousand, six hundred sixty-four".