81630290976 has 192 divisors, whose sum is σ = 243448934400. Its totient is φ = 23742084096.

The previous prime is 81630290939. The next prime is 81630291031. The reversal of 81630290976 is 67909203618.

It is a super-3 number, since 3×81630290976³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11354455 + ... + 11361641.

It is an arithmetic number, because the mean of its divisors is an integer number (1267963200).

Almost surely, 2^81630290976 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 81630290976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121724467200).

81630290976 is an abundant number, since it is smaller than the sum of its proper divisors (161818643424).

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

81630290976 is a wasteful number, since it uses less digits than its factorization.

81630290976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 81630290976 in words is "eighty-one billion, six hundred thirty million, two hundred ninety thousand, nine hundred seventy-six".