10749974400 has 384 divisors, whose sum is σ = 42922252800. Its totient is φ = 2605824000.

The previous prime is 10749974399. The next prime is 10749974407. The reversal of 10749974400 is 447994701.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10749974407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944745 + ... + 956055.

It is an arithmetic number, because the mean of its divisors is an integer number (111776700).

Almost surely, 2^10749974400 is an apocalyptic number.

10749974400 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 10749974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21461126400).

10749974400 is an abundant number, since it is smaller than the sum of its proper divisors (32172278400).

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

10749974400 is a wasteful number, since it uses less digits than its factorization.

10749974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355 (or 11332 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10749974400 in words is "ten billion, seven hundred forty-nine million, nine hundred seventy-four thousand, four hundred".