21769376345640 has 768 divisors, whose sum is σ = 90138924195840. Its totient is φ = 4424620032000.

The previous prime is 21769376345609. The next prime is 21769376345641. The reversal of 21769376345640 is 4654367396712.

It is a happy number.

21769376345640 is a `hidden beast` number, since 2 + 1 + 7 + 6 + 9 + 3 + 7 + 63 + 4 + 564 + 0 = 666.

It is a super-2 number, since 2×21769376345640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21769376345641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2776348120 + ... + 2776355960.

It is an arithmetic number, because the mean of its divisors is an integer number (117368390880).

Almost surely, 2^{21769376345640} is an apocalyptic number.

21769376345640 is a gapful number since it is divisible by the number (20) 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 21769376345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45069462097920).

21769376345640 is an abundant number, since it is smaller than the sum of its proper divisors (68369547850200).

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

21769376345640 is a wasteful number, since it uses less digits than its factorization.

21769376345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10054 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 21769376345640 in words is "twenty-one trillion, seven hundred sixty-nine billion, three hundred seventy-six million, three hundred forty-five thousand, six hundred forty".