10772536320 has 792 divisors, whose sum is σ = 46888156224. Its totient is φ = 2266693632.

The previous prime is 10772536309. The next prime is 10772536373. The reversal of 10772536320 is 2363527701.

10772536320 is a `hidden beast` number, since 10 + 7 + 7 + 2 + 5 + 3 + 632 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29352777 + ... + 29353143.

Almost surely, 2^10772536320 is an apocalyptic number.

10772536320 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 10772536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23444078112).

10772536320 is an abundant number, since it is smaller than the sum of its proper divisors (36115619904).

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

10772536320 is a wasteful number, since it uses less digits than its factorization.

10772536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 10772536320 in words is "ten billion, seven hundred seventy-two million, five hundred thirty-six thousand, three hundred twenty".