65802401342496 has 768 divisors, whose sum is σ = 251716218163200. Its totient is φ = 16441055585280.

The previous prime is 65802401342479. The next prime is 65802401342501. The reversal of 65802401342496 is 69424310420856.

65802401342496 is a `hidden beast` number, since 6 + 5 + 80 + 2 + 40 + 1 + 34 + 2 + 496 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120730431 + ... + 121274241.

It is an arithmetic number, because the mean of its divisors is an integer number (327755492400).

Almost surely, 2^{65802401342496} 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 65802401342496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125858109081600).

65802401342496 is an abundant number, since it is smaller than the sum of its proper divisors (185913816820704).

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

65802401342496 is a wasteful number, since it uses less digits than its factorization.

65802401342496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543881 (or 543855 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 65802401342496 in words is "sixty-five trillion, eight hundred two billion, four hundred one million, three hundred forty-two thousand, four hundred ninety-six".