651465348745680 has 800 divisors, whose sum is σ = 2592890318684160. Its totient is φ = 148502610385920.

The previous prime is 651465348745649. The next prime is 651465348745787. The reversal of 651465348745680 is 86547843564156.

651465348745680 is a `hidden beast` number, since 6 + 5 + 1 + 4 + 6 + 53 + 4 + 8 + 7 + 4 + 568 + 0 = 666.

It is a hoax number, since the sum of its digits (72) 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 651465348745599 and 651465348745608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26303752657 + ... + 26303777423.

Almost surely, 2^{651465348745680} is an apocalyptic number.

651465348745680 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 651465348745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296445159342080).

651465348745680 is an abundant number, since it is smaller than the sum of its proper divisors (1941424969938480).

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

651465348745680 is a wasteful number, since it uses less digits than its factorization.

651465348745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26349 (or 26334 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 72.

The spelling of 651465348745680 in words is "six hundred fifty-one trillion, four hundred sixty-five billion, three hundred forty-eight million, seven hundred forty-five thousand, six hundred eighty".