65112848640 has 864 divisors, whose sum is σ = 268024323840. Its totient is φ = 14284947456.

The previous prime is 65112848629. The next prime is 65112848651. The reversal of 65112848640 is 4684821156.

It is a happy number.

65112848640 is a `hidden beast` number, since 6 + 5 + 1 + 128 + 486 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (65112848629) and next prime (65112848651).

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 95 ways as a sum of consecutive naturals, for example, 414731442 + ... + 414731598.

Almost surely, 2^65112848640 is an apocalyptic number.

65112848640 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 65112848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134012161920).

65112848640 is an abundant number, since it is smaller than the sum of its proper divisors (202911475200).

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

65112848640 is a wasteful number, since it uses less digits than its factorization.

65112848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 65112848640 in words is "sixty-five billion, one hundred twelve million, eight hundred forty-eight thousand, six hundred forty".