10633747740 has 384 divisors, whose sum is σ = 38320128000. Its totient is φ = 2183973120.

The previous prime is 10633747693. The next prime is 10633747801. The reversal of 10633747740 is 4774733601.

10633747740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10633747740² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10633747692 and 10633747701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24222441 + ... + 24222879.

It is an arithmetic number, because the mean of its divisors is an integer number (99792000).

Almost surely, 2^10633747740 is an apocalyptic number.

10633747740 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 10633747740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064000).

10633747740 is an abundant number, since it is smaller than the sum of its proper divisors (27686380260).

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

10633747740 is a wasteful number, since it uses less digits than its factorization.

10633747740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 10633747740 in words is "ten billion, six hundred thirty-three million, seven hundred forty-seven thousand, seven hundred forty".