65946240000 has 495 divisors, whose sum is σ = 240191338387. Its totient is φ = 17421312000.

The previous prime is 65946239921. The next prime is 65946240043. The reversal of 65946240000 is 4264956.

The square root of 65946240000 is 256800.

It is a perfect power (a square), and thus also a powerful number.

65946240000 is a `hidden beast` number, since 6 + 594 + 62 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5170185216 + 60776054784 = 71904^2 + 246528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 616319947 + ... + 616320053.

Almost surely, 2^65946240000 is an apocalyptic number.

65946240000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

65946240000 is the 256800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65946240000

65946240000 is an abundant number, since it is smaller than the sum of its proper divisors (174245098387).

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

65946240000 is an equidigital number, since it uses as much as digits as its factorization.

65946240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 65946240000 by its sum of digits (36), we get a square (2374064640000 = 1540800²).

65946240000 divided by its sum of digits (36) gives a square (1831840000 = 42800²).

The spelling of 65946240000 in words is "sixty-five billion, nine hundred forty-six million, two hundred forty thousand".