73994795259840 has 1344 divisors, whose sum is σ = 316039090348800. Its totient is φ = 15473289461760.

The previous prime is 73994795259823. The next prime is 73994795259841. The reversal of 73994795259840 is 4895259749937.

73994795259840 is a `hidden beast` number, since 7 + 3 + 9 + 9 + 4 + 7 + 9 + 525 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 73994795259840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73994795259841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20345006502 + ... + 20345010138.

It is an arithmetic number, because the mean of its divisors is an integer number (235148132700).

Almost surely, 2^{73994795259840} is an apocalyptic number.

73994795259840 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 73994795259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158019545174400).

73994795259840 is an abundant number, since it is smaller than the sum of its proper divisors (242044295088960).

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

73994795259840 is a wasteful number, since it uses less digits than its factorization.

73994795259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 6172588800, while the sum is 81.

The spelling of 73994795259840 in words is "seventy-three trillion, nine hundred ninety-four billion, seven hundred ninety-five million, two hundred fifty-nine thousand, eight hundred forty".