10345778460 has 240 divisors, whose sum is σ = 33435575712. Its totient is φ = 2687385600.

The previous prime is 10345778437. The next prime is 10345778497. The reversal of 10345778460 is 6487754301.

10345778460 is a `hidden beast` number, since 1 + 0 + 34 + 577 + 8 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 16139740 + ... + 16140380.

Almost surely, 2^10345778460 is an apocalyptic number.

10345778460 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 10345778460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717787856).

10345778460 is an abundant number, since it is smaller than the sum of its proper divisors (23089797252).

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

10345778460 is an frugal number, since it uses more digits than its factorization.

10345778460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10345778460 in words is "ten billion, three hundred forty-five million, seven hundred seventy-eight thousand, four hundred sixty".