73424889720 has 1536 divisors, whose sum is σ = 340787865600. Its totient is φ = 13759414272.

The previous prime is 73424889697. The next prime is 73424889743. The reversal of 73424889720 is 2798842437.

It is a happy number.

73424889720 is a `hidden beast` number, since 73 + 4 + 2 + 488 + 97 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73424889697) and next prime (73424889743).

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 383 ways as a sum of consecutive naturals, for example, 285699832 + ... + 285700088.

It is an arithmetic number, because the mean of its divisors is an integer number (221867100).

Almost surely, 2^73424889720 is an apocalyptic number.

73424889720 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 73424889720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170393932800).

73424889720 is an abundant number, since it is smaller than the sum of its proper divisors (267362975880).

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

73424889720 is a wasteful number, since it uses less digits than its factorization.

73424889720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 73424889720 in words is "seventy-three billion, four hundred twenty-four million, eight hundred eighty-nine thousand, seven hundred twenty".