65057346720 has 480 divisors, whose sum is σ = 242638260480. Its totient is φ = 16370657280.

The previous prime is 65057346719. The next prime is 65057346787. The reversal of 65057346720 is 2764375056.

65057346720 is a `hidden beast` number, since 6 + 5 + 0 + 573 + 4 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106129134 + ... + 106129746.

It is an arithmetic number, because the mean of its divisors is an integer number (505496376).

Almost surely, 2^65057346720 is an apocalyptic number.

65057346720 is a gapful number since it is divisible by the number (60) 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 65057346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121319130240).

65057346720 is an abundant number, since it is smaller than the sum of its proper divisors (177580913760).

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

65057346720 is a wasteful number, since it uses less digits than its factorization.

65057346720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 65057346720 in words is "sixty-five billion, fifty-seven million, three hundred forty-six thousand, seven hundred twenty".