73081282779648 has 3200 divisors, whose sum is σ = 284842388920320. Its totient is φ = 18304320798720.

The previous prime is 73081282779641. The next prime is 73081282779719. The reversal of 73081282779648 is 84697728218037.

It is a happy number.

73081282779648 is a `hidden beast` number, since 7 + 308 + 1 + 2 + 8 + 277 + 9 + 6 + 48 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (73081282779641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 422435160490 + ... + 422435160662.

Almost surely, 2^{73081282779648} is an apocalyptic number.

73081282779648 is a gapful number since it is divisible by the number (78) 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 73081282779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142421194460160).

73081282779648 is an abundant number, since it is smaller than the sum of its proper divisors (211761106140672).

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

73081282779648 is a wasteful number, since it uses less digits than its factorization.

73081282779648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 73081282779648 in words is "seventy-three trillion, eighty-one billion, two hundred eighty-two million, seven hundred seventy-nine thousand, six hundred forty-eight".