66812863040 has 448 divisors, whose sum is σ = 203219767296. Its totient is φ = 20321280000.

The previous prime is 66812863003. The next prime is 66812863069. The reversal of 66812863040 is 4036821866.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 66812862982 and 66812863000.

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 63 ways as a sum of consecutive naturals, for example, 316648535 + ... + 316648745.

It is an arithmetic number, because the mean of its divisors is an integer number (453615552).

Almost surely, 2^66812863040 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 66812863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101609883648).

66812863040 is an abundant number, since it is smaller than the sum of its proper divisors (136406904256).

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

66812863040 is a wasteful number, since it uses less digits than its factorization.

66812863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 66812863040 in words is "sixty-six billion, eight hundred twelve million, eight hundred sixty-three thousand, forty".