10821707640 has 192 divisors, whose sum is σ = 37230429600. Its totient is φ = 2718489600.

The previous prime is 10821707627. The next prime is 10821707641. The reversal of 10821707640 is 4670712801.

10821707640 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 1 + 7 + 0 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10821707595 and 10821707604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821707641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1233670 + ... + 1242410.

Almost surely, 2^10821707640 is an apocalyptic number.

10821707640 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 10821707640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615214800).

10821707640 is an abundant number, since it is smaller than the sum of its proper divisors (26408721960).

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

10821707640 is a wasteful number, since it uses less digits than its factorization.

10821707640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10821707640 in words is "ten billion, eight hundred twenty-one million, seven hundred seven thousand, six hundred forty".