4561920000 has 700 divisors, whose sum is σ = 18578518596. Its totient is φ = 1105920000.

The previous prime is 4561919977. The next prime is 4561920001. The reversal of 4561920000 is 291654.

4561920000 is a `hidden beast` number, since 45 + 619 + 2 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×4561920000² = 41622228172800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4561920001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 414719995 + ... + 414720005.

Almost surely, 2^4561920000 is an apocalyptic number.

4561920000 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 4561920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289259298).

4561920000 is an abundant number, since it is smaller than the sum of its proper divisors (14016598596).

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

4561920000 is an frugal number, since it uses more digits than its factorization.

4561920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4561920000 is about 67541.9869414574. The cubic root of 4561920000 is about 1658.5015752027.

The spelling of 4561920000 in words is "four billion, five hundred sixty-one million, nine hundred twenty thousand".