425729326464 has 1024 divisors, whose sum is σ = 1480550400000. Its totient is φ = 119325892608.

The previous prime is 425729326459. The next prime is 425729326471. The reversal of 425729326464 is 464623927524.

425729326464 is a `hidden beast` number, since 4 + 2 + 5 + 72 + 93 + 26 + 464 = 666.

It is a super-3 number, since 3×425729326464³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 425729326464.

It is a congruent number.

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, 3978778699 + ... + 3978778805.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850000).

Almost surely, 2^425729326464 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 425729326464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200000).

425729326464 is an abundant number, since it is smaller than the sum of its proper divisors (1054821073536).

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

425729326464 is a wasteful number, since it uses less digits than its factorization.

425729326464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 282 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 425729326464 in words is "four hundred twenty-five billion, seven hundred twenty-nine million, three hundred twenty-six thousand, four hundred sixty-four".