4611552000 has 432 divisors, whose sum is σ = 16878746976. Its totient is φ = 1115136000.

The previous prime is 4611551963. The next prime is 4611552007. The reversal of 4611552000 is 2551164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4611552007) 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, 11615802 + ... + 11616198.

Almost surely, 2^4611552000 is an apocalyptic number.

4611552000 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 4611552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439373488).

4611552000 is an abundant number, since it is smaller than the sum of its proper divisors (12267194976).

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

4611552000 is a wasteful number, since it uses less digits than its factorization.

4611552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 4611552000 is about 67908.4089049361. The cubic root of 4611552000 is about 1664.4945214119.

The spelling of 4611552000 in words is "four billion, six hundred eleven million, five hundred fifty-two thousand".