426657676720 has 320 divisors, whose sum is σ = 1162878249600. Its totient is φ = 144083681280.

The previous prime is 426657676663. The next prime is 426657676727. The reversal of 426657676720 is 27676756624.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (426657676727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84034822 + ... + 84039898.

It is an arithmetic number, because the mean of its divisors is an integer number (3633994530).

Almost surely, 2^426657676720 is an apocalyptic number.

426657676720 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 426657676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581439124800).

426657676720 is an abundant number, since it is smaller than the sum of its proper divisors (736220572880).

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

426657676720 is a wasteful number, since it uses less digits than its factorization.

426657676720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 58.

The spelling of 426657676720 in words is "four hundred twenty-six billion, six hundred fifty-seven million, six hundred seventy-six thousand, seven hundred twenty".