426796755840 has 1536 divisors, whose sum is σ = 1938188528640. Its totient is φ = 83979141120.

The previous prime is 426796755799. The next prime is 426796755859. The reversal of 426796755840 is 48557697624.

426796755840 is a `hidden beast` number, since 4 + 2 + 6 + 79 + 6 + 7 + 558 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1880161807 + ... + 1880162033.

It is an arithmetic number, because the mean of its divisors is an integer number (1261841490).

Almost surely, 2^426796755840 is an apocalyptic number.

426796755840 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 426796755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969094264320).

426796755840 is an abundant number, since it is smaller than the sum of its proper divisors (1511391772800).

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

426796755840 is a wasteful number, since it uses less digits than its factorization.

426796755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 426796755840 in words is "four hundred twenty-six billion, seven hundred ninety-six million, seven hundred fifty-five thousand, eight hundred forty".