65762245120 has 320 divisors, whose sum is σ = 196155945216. Its totient is φ = 20773601280.

The previous prime is 65762245111. The next prime is 65762245139. The reversal of 65762245120 is 2154226756.

65762245120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6218077 + ... + 6228643.

Almost surely, 2^65762245120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65762245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98077972608).

65762245120 is an abundant number, since it is smaller than the sum of its proper divisors (130393700096).

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

65762245120 is a wasteful number, since it uses less digits than its factorization.

65762245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10631 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 65762245120 in words is "sixty-five billion, seven hundred sixty-two million, two hundred forty-five thousand, one hundred twenty".