73504802427840 has 1568 divisors, whose sum is σ = 318080720240640. Its totient is φ = 15786992959488.

The previous prime is 73504802427827. The next prime is 73504802427851. The reversal of 73504802427840 is 4872420840537.

73504802427840 is a `hidden beast` number, since 7 + 3 + 50 + 480 + 2 + 4 + 2 + 78 + 40 = 666.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 20514874689 + ... + 20514878271.

Almost surely, 2^{73504802427840} is an apocalyptic number.

73504802427840 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 73504802427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159040360120320).

73504802427840 is an abundant number, since it is smaller than the sum of its proper divisors (244575917812800).

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

73504802427840 is a wasteful number, since it uses less digits than its factorization.

73504802427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 73504802427840 in words is "seventy-three trillion, five hundred four billion, eight hundred two million, four hundred twenty-seven thousand, eight hundred forty".