73620991342080 has 960 divisors, whose sum is σ = 325432298999808. Its totient is φ = 15533208207360.

The previous prime is 73620991342007. The next prime is 73620991342097. The reversal of 73620991342080 is 8024319902637.

73620991342080 is a `hidden beast` number, since 7 + 3 + 6 + 209 + 9 + 1 + 3 + 420 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55959025 + ... + 57259535.

Almost surely, 2^{73620991342080} is an apocalyptic number.

73620991342080 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 73620991342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162716149499904).

73620991342080 is an abundant number, since it is smaller than the sum of its proper divisors (251811307657728).

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

73620991342080 is a wasteful number, since it uses less digits than its factorization.

73620991342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300569 (or 1300541 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 73620991342080 in words is "seventy-three trillion, six hundred twenty billion, nine hundred ninety-one million, three hundred forty-two thousand, eighty".