426756288960 has 672 divisors, whose sum is σ = 1560095147520. Its totient is φ = 111003291648.

The previous prime is 426756288949. The next prime is 426756288967. The reversal of 426756288960 is 69882657624.

426756288960 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 562 + 8 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×426756288960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426756288967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766169002 + ... + 766169558.

It is an arithmetic number, because the mean of its divisors is an integer number (2321570160).

Almost surely, 2^426756288960 is an apocalyptic number.

426756288960 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 426756288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780047573760).

426756288960 is an abundant number, since it is smaller than the sum of its proper divisors (1133338858560).

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

426756288960 is a wasteful number, since it uses less digits than its factorization.

426756288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

It can be divided in two parts, 426756 and 288960, that added together give a square (715716 = 846²).

The spelling of 426756288960 in words is "four hundred twenty-six billion, seven hundred fifty-six million, two hundred eighty-eight thousand, nine hundred sixty".