73894810429440 has 8064 divisors, whose sum is σ = 384030939801600. Its totient is φ = 13243436236800.

The previous prime is 73894810429379. The next prime is 73894810429567. The reversal of 73894810429440 is 4492401849837.

73894810429440 is a `hidden beast` number, since 7 + 3 + 8 + 94 + 81 + 0 + 4 + 29 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 2383703562225 + ... + 2383703562255.

It is an arithmetic number, because the mean of its divisors is an integer number (47622884400).

Almost surely, 2^{73894810429440} is an apocalyptic number.

73894810429440 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 73894810429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192015469900800).

73894810429440 is an abundant number, since it is smaller than the sum of its proper divisors (310136129372160).

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

73894810429440 is a wasteful number, since it uses less digits than its factorization.

73894810429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 73894810429440 in words is "seventy-three trillion, eight hundred ninety-four billion, eight hundred ten million, four hundred twenty-nine thousand, four hundred forty".