428763697726464 has 1408 divisors, whose sum is σ = 1416301286400000. Its totient is φ = 127593150676992.

The previous prime is 428763697726451. The next prime is 428763697726471. The reversal of 428763697726464 is 464627796367824.

428763697726464 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 6 + 3 + 69 + 77 + 26 + 464 = 666.

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, 107110589487 + ... + 107110593489.

It is an arithmetic number, because the mean of its divisors is an integer number (1005895800000).

Almost surely, 2^{428763697726464} 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 428763697726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708150643200000).

428763697726464 is an abundant number, since it is smaller than the sum of its proper divisors (987537588673536).

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

428763697726464 is a wasteful number, since it uses less digits than its factorization.

428763697726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4224 counting only the distinct ones).

The product of its digits is 24580620288, while the sum is 81.

The spelling of 428763697726464 in words is "four hundred twenty-eight trillion, seven hundred sixty-three billion, six hundred ninety-seven million, seven hundred twenty-six thousand, four hundred sixty-four".