83068502400 has 576 divisors, whose sum is σ = 329249574000. Its totient is φ = 20444037120.

The previous prime is 83068502389. The next prime is 83068502401. The reversal of 83068502400 is 420586038.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83068502401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14598756 + ... + 14604444.

Almost surely, 2^83068502400 is an apocalyptic number.

83068502400 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 83068502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164624787000).

83068502400 is an abundant number, since it is smaller than the sum of its proper divisors (246181071600).

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

83068502400 is a wasteful number, since it uses less digits than its factorization.

83068502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 83068502400 in words is "eighty-three billion, sixty-eight million, five hundred two thousand, four hundred".