4664003652 has 360 divisors, whose sum is σ = 16393231008. Its totient is φ = 1139443200.

The previous prime is 4664003629. The next prime is 4664003671. The reversal of 4664003652 is 2563004664.

4664003652 is a `hidden beast` number, since 4 + 6 + 640 + 0 + 3 + 6 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2968027 + ... + 2969597.

Almost surely, 2^4664003652 is an apocalyptic number.

4664003652 is a gapful number since it is divisible by the number (42) 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 4664003652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196615504).

4664003652 is an abundant number, since it is smaller than the sum of its proper divisors (11729227356).

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

4664003652 is a wasteful number, since it uses less digits than its factorization.

4664003652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4664003652 is about 68293.5110533936. The cubic root of 4664003652 is about 1670.7813824596.

The spelling of 4664003652 in words is "four billion, six hundred sixty-four million, three thousand, six hundred fifty-two".