4007672000 has 112 divisors (see below), whose sum is σ = 10074481248. Its totient is φ = 1578931200.

The previous prime is 4007671973. The next prime is 4007672003. The reversal of 4007672000 is 2767004.

It is a super-2 number, since 2×4007672000² = 32122869719168000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4007672003) 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, 532262 + ... + 539738.

Almost surely, 2^4007672000 is an apocalyptic number.

4007672000 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 4007672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037240624).

4007672000 is an abundant number, since it is smaller than the sum of its proper divisors (6066809248).

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

4007672000 is an equidigital number, since it uses as much as digits as its factorization.

4007672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 4007672000 is about 63306.1766338799. The cubic root of 4007672000 is about 1588.4152822190.

The spelling of 4007672000 in words is "four billion, seven million, six hundred seventy-two thousand".