4007342657664 has 384 divisors, whose sum is σ = 12606886656000. Its totient is φ = 1263582581760.

The previous prime is 4007342657663. The next prime is 4007342657687. The reversal of 4007342657664 is 4667562437004.

4007342657664 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 3 + 4 + 2 + 6 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4007342657664.

It is not an unprimeable number, because it can be changed into a prime (4007342657663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424907029 + ... + 424916459.

It is an arithmetic number, because the mean of its divisors is an integer number (32830434000).

Almost surely, 2^{4007342657664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007342657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303443328000).

4007342657664 is an abundant number, since it is smaller than the sum of its proper divisors (8599543998336).

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

4007342657664 is an equidigital number, since it uses as much as digits as its factorization.

4007342657664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10198 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 4007342657664 in words is "four trillion, seven billion, three hundred forty-two million, six hundred fifty-seven thousand, six hundred sixty-four".