10460774016 has 576 divisors, whose sum is σ = 40487765760. Its totient is φ = 2554675200.

The previous prime is 10460774011. The next prime is 10460774021. The reversal of 10460774016 is 61047706401.

10460774016 is a `hidden beast` number, since 1 + 0 + 4 + 607 + 7 + 40 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10460774011) and next prime (10460774021).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (10460774011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10555281 + ... + 10556271.

It is an arithmetic number, because the mean of its divisors is an integer number (70291260).

Almost surely, 2^10460774016 is an apocalyptic number.

10460774016 is a gapful number since it is divisible by the number (16) 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 10460774016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243882880).

10460774016 is an abundant number, since it is smaller than the sum of its proper divisors (30026991744).

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

10460774016 is a wasteful number, since it uses less digits than its factorization.

10460774016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10460774016 in words is "ten billion, four hundred sixty million, seven hundred seventy-four thousand, sixteen".