434761997670 has 1280 divisors, whose sum is σ = 1657984204800. Its totient is φ = 80472268800.

The previous prime is 434761997653. The next prime is 434761997687. The reversal of 434761997670 is 76799167434.

434761997670 is a `hidden beast` number, since 4 + 3 + 4 + 7 + 619 + 9 + 7 + 6 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (434761997653) and next prime (434761997687).

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 = 434761997598 and 434761997607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1231620214 + ... + 1231620566.

It is an arithmetic number, because the mean of its divisors is an integer number (1295300160).

Almost surely, 2^434761997670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434761997670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828992102400).

434761997670 is an abundant number, since it is smaller than the sum of its proper divisors (1223222207130).

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

434761997670 is a wasteful number, since it uses less digits than its factorization.

434761997670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 434761997670 in words is "four hundred thirty-four billion, seven hundred sixty-one million, nine hundred ninety-seven thousand, six hundred seventy".