4661606400 has 576 divisors, whose sum is σ = 17548876800. Its totient is φ = 1081344000.

The previous prime is 4661606381. The next prime is 4661606413. The reversal of 4661606400 is 46061664.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52377556 + ... + 52377644.

It is an arithmetic number, because the mean of its divisors is an integer number (30466800).

Almost surely, 2^4661606400 is an apocalyptic number.

4661606400 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 4661606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774438400).

4661606400 is an abundant number, since it is smaller than the sum of its proper divisors (12887270400).

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

4661606400 is a wasteful number, since it uses less digits than its factorization.

4661606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4661606400 is about 68275.9577010825. The cubic root of 4661606400 is about 1670.4950783361.

The spelling of 4661606400 in words is "four billion, six hundred sixty-one million, six hundred six thousand, four hundred".