34664012460 has 576 divisors, whose sum is σ = 135258439680. Its totient is φ = 6977456640.

The previous prime is 34664012443. The next prime is 34664012473. The reversal of 34664012460 is 6421046643.

34664012460 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 401 + 246 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 82730131 + ... + 82730549.

It is an arithmetic number, because the mean of its divisors is an integer number (234823680).

Almost surely, 2^34664012460 is an apocalyptic number.

34664012460 is a gapful number since it is divisible by the number (30) 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 34664012460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67629219840).

34664012460 is an abundant number, since it is smaller than the sum of its proper divisors (100594427220).

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

34664012460 is a wasteful number, since it uses less digits than its factorization.

34664012460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34664012460 in words is "thirty-four billion, six hundred sixty-four million, twelve thousand, four hundred sixty".