65748957120 has 1344 divisors, whose sum is σ = 298226073600. Its totient is φ = 13392138240.

The previous prime is 65748957089. The next prime is 65748957139. The reversal of 65748957120 is 2175984756.

65748957120 is a `hidden beast` number, since 6 + 5 + 7 + 48 + 9 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 473014011 + ... + 473014149.

It is an arithmetic number, because the mean of its divisors is an integer number (221894400).

Almost surely, 2^65748957120 is an apocalyptic number.

65748957120 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 65748957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149113036800).

65748957120 is an abundant number, since it is smaller than the sum of its proper divisors (232477116480).

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

65748957120 is a wasteful number, since it uses less digits than its factorization.

65748957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 65748957120 in words is "sixty-five billion, seven hundred forty-eight million, nine hundred fifty-seven thousand, one hundred twenty".