427614102720 has 448 divisors, whose sum is σ = 1727083607040. Its totient is φ = 97567358976.

The previous prime is 427614102719. The next prime is 427614102749. The reversal of 427614102720 is 27201416724.

427614102720 is a `hidden beast` number, since 4 + 2 + 7 + 614 + 10 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×427614102720² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35858679 + ... + 35870601.

Almost surely, 2^427614102720 is an apocalyptic number.

427614102720 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 427614102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863541803520).

427614102720 is an abundant number, since it is smaller than the sum of its proper divisors (1299469504320).

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

427614102720 is a wasteful number, since it uses less digits than its factorization.

427614102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12549 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 427614102720 in words is "four hundred twenty-seven billion, six hundred fourteen million, one hundred two thousand, seven hundred twenty".