10769486400 has 1008 divisors, whose sum is σ = 44109833040. Its totient is φ = 2477260800.

The previous prime is 10769486389. The next prime is 10769486449. The reversal of 10769486400 is 468496701.

10769486400 is a `hidden beast` number, since 10 + 76 + 94 + 86 + 400 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 5777216064 + 4992270336 = 76008^2 + 70656^2 .

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, 262670380 + ... + 262670420.

It is an arithmetic number, because the mean of its divisors is an integer number (43759755).

Almost surely, 2^10769486400 is an apocalyptic number.

10769486400 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 10769486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054916520).

10769486400 is an abundant number, since it is smaller than the sum of its proper divisors (33340346640).

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

10769486400 is a wasteful number, since it uses less digits than its factorization.

10769486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10769486400 in words is "ten billion, seven hundred sixty-nine million, four hundred eighty-six thousand, four hundred".