82734148890624 has 832 divisors, whose sum is σ = 292849140326400. Its totient is φ = 20554803118080.

The previous prime is 82734148890587. The next prime is 82734148890637. The reversal of 82734148890624 is 42609884143728.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066301559 + ... + 1066379145.

Almost surely, 2^{82734148890624} is an apocalyptic number.

82734148890624 is a gapful number since it is divisible by the number (84) 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 82734148890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146424570163200).

82734148890624 is an abundant number, since it is smaller than the sum of its proper divisors (210114991435776).

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

82734148890624 is a wasteful number, since it uses less digits than its factorization.

82734148890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77669 (or 77633 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 66.

The spelling of 82734148890624 in words is "eighty-two trillion, seven hundred thirty-four billion, one hundred forty-eight million, eight hundred ninety thousand, six hundred twenty-four".