426674001600 has 2688 divisors, whose sum is σ = 2102017843200. Its totient is φ = 81517363200.

The previous prime is 426674001599. The next prime is 426674001617. The reversal of 426674001600 is 6100476624.

426674001600 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 7 + 40 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2717668722 + ... + 2717668878.

Almost surely, 2^426674001600 is an apocalyptic number.

426674001600 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 426674001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051008921600).

426674001600 is an abundant number, since it is smaller than the sum of its proper divisors (1675343841600).

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

426674001600 is a wasteful number, since it uses less digits than its factorization.

426674001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 426674001600 in words is "four hundred twenty-six billion, six hundred seventy-four million, one thousand, six hundred".