10734776640 has 224 divisors, whose sum is σ = 43280136960. Its totient is φ = 2453649408.

The previous prime is 10734776623. The next prime is 10734776681. The reversal of 10734776640 is 4667743701.

10734776640 is a `hidden beast` number, since 10 + 73 + 477 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28267 + ... + 149226.

Almost surely, 2^10734776640 is an apocalyptic number.

10734776640 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 10734776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21640068480).

10734776640 is an abundant number, since it is smaller than the sum of its proper divisors (32545360320).

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

10734776640 is a wasteful number, since it uses less digits than its factorization.

10734776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177526 (or 177510 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 10734776640 in words is "ten billion, seven hundred thirty-four million, seven hundred seventy-six thousand, six hundred forty".