83370276864 has 384 divisors, whose sum is σ = 288864576000. Its totient is φ = 23261478912.

The previous prime is 83370276863. The next prime is 83370276883. The reversal of 83370276864 is 46867207338.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 83370276864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83370276863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16641592 + ... + 16646600.

It is an arithmetic number, because the mean of its divisors is an integer number (752251500).

Almost surely, 2^83370276864 is an apocalyptic number.

83370276864 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 83370276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144432288000).

83370276864 is an abundant number, since it is smaller than the sum of its proper divisors (205494299136).

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

83370276864 is a wasteful number, since it uses less digits than its factorization.

83370276864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 83370276864 in words is "eighty-three billion, three hundred seventy million, two hundred seventy-six thousand, eight hundred sixty-four".