427707893970 has 1024 divisors, whose sum is σ = 1464569856000. Its totient is φ = 89625989376.

The previous prime is 427707893927. The next prime is 427707893981. The reversal of 427707893970 is 79398707724.

427707893970 is a `hidden beast` number, since 427 + 70 + 78 + 9 + 3 + 9 + 70 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 427707893898 and 427707893907.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6383699877 + ... + 6383699943.

It is an arithmetic number, because the mean of its divisors is an integer number (1430244000).

Almost surely, 2^427707893970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427707893970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732284928000).

427707893970 is an abundant number, since it is smaller than the sum of its proper divisors (1036861962030).

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

427707893970 is an equidigital number, since it uses as much as digits as its factorization.

427707893970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 427707893970 in words is "four hundred twenty-seven billion, seven hundred seven million, eight hundred ninety-three thousand, nine hundred seventy".