4661074800 has 120 divisors (see below), whose sum is σ = 16590012080. Its totient is φ = 1242950400.

The previous prime is 4661074799. The next prime is 4661074801. The reversal of 4661074800 is 84701664.

It is an interprime number because it is at equal distance from previous prime (4661074799) and next prime (4661074801).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661074801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204991 + ... + 226590.

Almost surely, 2^4661074800 is an apocalyptic number.

4661074800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4661074800 is an abundant number, since it is smaller than the sum of its proper divisors (11928937280).

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

4661074800 is a wasteful number, since it uses less digits than its factorization.

4661074800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431608 (or 431591 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4661074800 is about 68272.0645652378. The cubic root of 4661074800 is about 1670.4315759819.

The spelling of 4661074800 in words is "four billion, six hundred sixty-one million, seventy-four thousand, eight hundred".