4645761120 has 864 divisors, whose sum is σ = 21520489536. Its totient is φ = 888053760.

The previous prime is 4645761101. The next prime is 4645761121. The reversal of 4645761120 is 211675464.

4645761120 is a `hidden beast` number, since 4 + 64 + 576 + 1 + 1 + 20 = 666.

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 (4645761121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15855694 + ... + 15855986.

It is an arithmetic number, because the mean of its divisors is an integer number (24907974).

Almost surely, 2^4645761120 is an apocalyptic number.

4645761120 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 4645761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760244768).

4645761120 is an abundant number, since it is smaller than the sum of its proper divisors (16874728416).

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

4645761120 is a wasteful number, since it uses less digits than its factorization.

4645761120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4645761120 is about 68159.8204222986. The cubic root of 4645761120 is about 1668.6002015095.

The spelling of 4645761120 in words is "four billion, six hundred forty-five million, seven hundred sixty-one thousand, one hundred twenty".