21074290776 has 512 divisors, whose sum is σ = 77137920000. Its totient is φ = 5168655360.

The previous prime is 21074290733. The next prime is 21074290789. The reversal of 21074290776 is 67709247012.

21074290776 is a `hidden beast` number, since 210 + 7 + 429 + 0 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×21074290776² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34045395 + ... + 34046013.

It is an arithmetic number, because the mean of its divisors is an integer number (150660000).

Almost surely, 2^21074290776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21074290776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960000).

21074290776 is an abundant number, since it is smaller than the sum of its proper divisors (56063629224).

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

21074290776 is a wasteful number, since it uses less digits than its factorization.

21074290776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 21074290776 in words is "twenty-one billion, seventy-four million, two hundred ninety thousand, seven hundred seventy-six".