426668082204672 has 1560 divisors, whose sum is σ = 1633548389026752. Its totient is φ = 109720977408000.

The previous prime is 426668082204647. The next prime is 426668082204703. The reversal of 426668082204672 is 276402280866624.

It is a super-5 number, since 5×426668082204672⁵ (a number of 74 digits) contains 55555 as substring.

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

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 119 ways as a sum of consecutive naturals, for example, 18061541853 + ... + 18061565475.

Almost surely, 2^{426668082204672} is an apocalyptic number.

426668082204672 is a gapful number since it is divisible by the number (42) 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 426668082204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816774194513376).

426668082204672 is an abundant number, since it is smaller than the sum of its proper divisors (1206880306822080).

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

426668082204672 is a wasteful number, since it uses less digits than its factorization.

426668082204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23785 (or 23747 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 426668082204672 in words is "four hundred twenty-six trillion, six hundred sixty-eight billion, eighty-two million, two hundred four thousand, six hundred seventy-two".