4007370668 has 48 divisors (see below), whose sum is σ = 8224200768. Its totient is φ = 1672704000.

The previous prime is 4007370667. The next prime is 4007370671. The reversal of 4007370668 is 8660737004.

It is a super-3 number, since 3×4007370668³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (4007370667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756188 + ... + 761468.

It is an arithmetic number, because the mean of its divisors is an integer number (171337516).

Almost surely, 2^4007370668 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 4007370668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112100384).

4007370668 is an abundant number, since it is smaller than the sum of its proper divisors (4216830100).

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

4007370668 is a wasteful number, since it uses less digits than its factorization.

4007370668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5992 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 4007370668 is about 63303.7966317977. The cubic root of 4007370668 is about 1588.3754708813.

The spelling of 4007370668 in words is "four billion, seven million, three hundred seventy thousand, six hundred sixty-eight".