10463749920 has 864 divisors, whose sum is σ = 42589048320. Its totient is φ = 2329067520.

The previous prime is 10463749873. The next prime is 10463749957. The reversal of 10463749920 is 2994736401.

It is a happy number.

10463749920 is a `hidden beast` number, since 1 + 0 + 4 + 637 + 4 + 9 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143339004 + ... + 143339076.

It is an arithmetic number, because the mean of its divisors is an integer number (49292880).

Almost surely, 2^10463749920 is an apocalyptic number.

10463749920 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 10463749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294524160).

10463749920 is an abundant number, since it is smaller than the sum of its proper divisors (32125298400).

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

10463749920 is a wasteful number, since it uses less digits than its factorization.

10463749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10463749920 in words is "ten billion, four hundred sixty-three million, seven hundred forty-nine thousand, nine hundred twenty".