10632736620 has 384 divisors, whose sum is σ = 37507276800. Its totient is φ = 2477952000.

The previous prime is 10632736613. The next prime is 10632736643. The reversal of 10632736620 is 2663723601.

10632736620 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 27 + 3 + 6 + 620 = 666.

It is a super-3 number, since 3×10632736620³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 127 ways as a sum of consecutive naturals, for example, 22197541 + ... + 22198019.

It is an arithmetic number, because the mean of its divisors is an integer number (97675200).

Almost surely, 2^10632736620 is an apocalyptic number.

10632736620 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 10632736620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753638400).

10632736620 is an abundant number, since it is smaller than the sum of its proper divisors (26874540180).

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

10632736620 is a wasteful number, since it uses less digits than its factorization.

10632736620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10632736620 in words is "ten billion, six hundred thirty-two million, seven hundred thirty-six thousand, six hundred twenty".