426952673280 has 1152 divisors, whose sum is σ = 1795973437440. Its totient is φ = 91729428480.

The previous prime is 426952673269. The next prime is 426952673321. The reversal of 426952673280 is 82376259624.

426952673280 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 526 + 7 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739952352 + ... + 739952928.

It is an arithmetic number, because the mean of its divisors is an integer number (1559004720).

Almost surely, 2^426952673280 is an apocalyptic number.

426952673280 is a gapful number since it is divisible by the number (40) 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 426952673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897986718720).

426952673280 is an abundant number, since it is smaller than the sum of its proper divisors (1369020764160).

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

426952673280 is a wasteful number, since it uses less digits than its factorization.

426952673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 426952673280 in words is "four hundred twenty-six billion, nine hundred fifty-two million, six hundred seventy-three thousand, two hundred eighty".