4640721120 has 768 divisors, whose sum is σ = 20118067200. Its totient is φ = 975421440.

The previous prime is 4640721073. The next prime is 4640721131. The reversal of 4640721120 is 211270464.

4640721120 is a `hidden beast` number, since 4 + 640 + 7 + 2 + 1 + 12 + 0 = 666.

It is a super-2 number, since 2×4640721120² = 43072585027228108800, 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23556862 + ... + 23557058.

It is an arithmetic number, because the mean of its divisors is an integer number (26195400).

Almost surely, 2^4640721120 is an apocalyptic number.

4640721120 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 4640721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059033600).

4640721120 is an abundant number, since it is smaller than the sum of its proper divisors (15477346080).

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

4640721120 is a wasteful number, since it uses less digits than its factorization.

4640721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4640721120 is about 68122.8384611211. The cubic root of 4640721120 is about 1667.9965840207.

Adding to 4640721120 its reverse (211270464), we get a palindrome (4851991584).

The spelling of 4640721120 in words is "four billion, six hundred forty million, seven hundred twenty-one thousand, one hundred twenty".