10704462000 has 160 divisors (see below), whose sum is σ = 34634658240. Its totient is φ = 2844313600.

The previous prime is 10704461969. The next prime is 10704462031. The reversal of 10704462000 is 26440701.

It is an interprime number because it is at equal distance from previous prime (10704461969) and next prime (10704462031).

It is a super-2 number, since 2×10704462000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1754956 + ... + 1761044.

It is an arithmetic number, because the mean of its divisors is an integer number (216466614).

Almost surely, 2^10704462000 is an apocalyptic number.

10704462000 is a gapful number since it is divisible by the number (10) 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 10704462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317329120).

10704462000 is an abundant number, since it is smaller than the sum of its proper divisors (23930196240).

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

10704462000 is a wasteful number, since it uses less digits than its factorization.

10704462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 10704462000 in words is "ten billion, seven hundred four million, four hundred sixty-two thousand".