4465755840 has 896 divisors, whose sum is σ = 19269992448. Its totient is φ = 849346560.

The previous prime is 4465755829. The next prime is 4465755881. The reversal of 4465755840 is 485575644.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4465755840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46038672 + ... + 46038768.

It is an arithmetic number, because the mean of its divisors is an integer number (21506688).

Almost surely, 2^4465755840 is an apocalyptic number.

4465755840 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 4465755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9634996224).

4465755840 is an abundant number, since it is smaller than the sum of its proper divisors (14804236608).

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

4465755840 is a wasteful number, since it uses less digits than its factorization.

4465755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The square root of 4465755840 is about 66826.3109860181. The cubic root of 4465755840 is about 1646.7651147429.

The spelling of 4465755840 in words is "four billion, four hundred sixty-five million, seven hundred fifty-five thousand, eight hundred forty".