83290747962240 has 4096 divisors, whose sum is σ = 391374176256000. Its totient is φ = 16456474460160.

The previous prime is 83290747962223. The next prime is 83290747962277. The reversal of 83290747962240 is 4226974709238.

83290747962240 is a `hidden beast` number, since 8 + 3 + 290 + 7 + 47 + 9 + 62 + 240 = 666.

It is a super-2 number, since 2×83290747962240² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 307345933305 + ... + 307345933575.

It is an arithmetic number, because the mean of its divisors is an integer number (95550336000).

Almost surely, 2^{83290747962240} is an apocalyptic number.

83290747962240 is a gapful number since it is divisible by the number (80) 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 83290747962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195687088128000).

83290747962240 is an abundant number, since it is smaller than the sum of its proper divisors (308083428293760).

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

83290747962240 is a wasteful number, since it uses less digits than its factorization.

83290747962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 83290747962240 in words is "eighty-three trillion, two hundred ninety billion, seven hundred forty-seven million, nine hundred sixty-two thousand, two hundred forty".