10704190464 has 396 divisors, whose sum is σ = 35251059480. Its totient is φ = 3122380800.

The previous prime is 10704190459. The next prime is 10704190481. The reversal of 10704190464 is 46409140701.

10704190464 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 4 + 190 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×10704190464² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32338779 + ... + 32339109.

Almost surely, 2^10704190464 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 10704190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625529740).

10704190464 is an abundant number, since it is smaller than the sum of its proper divisors (24546869016).

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

10704190464 is a wasteful number, since it uses less digits than its factorization.

10704190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10704190464 in words is "ten billion, seven hundred four million, one hundred ninety thousand, four hundred sixty-four".