427167412748496 has 240 divisors, whose sum is σ = 1398828868218496. Its totient is φ = 119141486198784.

The previous prime is 427167412748473. The next prime is 427167412748519. The reversal of 427167412748496 is 694847214761724.

427167412748496 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 6 + 7 + 4 + 127 + 4 + 8 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (427167412748473) and next prime (427167412748519).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73171056 + ... + 78793008.

Almost surely, 2^{427167412748496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427167412748496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699414434109248).

427167412748496 is an abundant number, since it is smaller than the sum of its proper divisors (971661455470000).

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

427167412748496 is a wasteful number, since it uses less digits than its factorization.

427167412748496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623770 (or 5623761 counting only the distinct ones).

The product of its digits is 910393344, while the sum is 72.

The spelling of 427167412748496 in words is "four hundred twenty-seven trillion, one hundred sixty-seven billion, four hundred twelve million, seven hundred forty-eight thousand, four hundred ninety-six".