73894026608640 has 2856 divisors, whose sum is σ = 317488417944480. Its totient is φ = 16448615350272.

The previous prime is 73894026608627. The next prime is 73894026608657. The reversal of 73894026608640 is 4680662049837.

73894026608640 is a `hidden beast` number, since 73 + 89 + 402 + 6 + 6 + 0 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 690598379467 + ... + 690598379573.

Almost surely, 2^{73894026608640} is an apocalyptic number.

73894026608640 is a gapful number since it is divisible by the number (70) 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 73894026608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158744208972240).

73894026608640 is an abundant number, since it is smaller than the sum of its proper divisors (243594391335840).

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

73894026608640 is an frugal number, since it uses more digits than its factorization.

73894026608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 73894026608640 in words is "seventy-three trillion, eight hundred ninety-four billion, twenty-six million, six hundred eight thousand, six hundred forty".