4032646000 has 40 divisors (see below), whose sum is σ = 9750942864. Its totient is φ = 1613057600.

The previous prime is 4032645983. The next prime is 4032646003. The reversal of 4032646000 is 6462304.

4032646000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4032646000² = 32524467522632000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032646003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006162 + ... + 1010161.

Almost surely, 2^4032646000 is an apocalyptic number.

4032646000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032646000 is an abundant number, since it is smaller than the sum of its proper divisors (5718296864).

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

4032646000 is a wasteful number, since it uses less digits than its factorization.

4032646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016346 (or 2016330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4032646000 is about 63503.1180336840. The cubic root of 4032646000 is about 1591.7078809658.

The spelling of 4032646000 in words is "four billion, thirty-two million, six hundred forty-six thousand".