73390136820 has 768 divisors, whose sum is σ = 294739845120. Its totient is φ = 13138329600.

The previous prime is 73390136797. The next prime is 73390136861. The reversal of 73390136820 is 2863109337.

It is a happy number.

It is a super-2 number, since 2×73390136820² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 83302780 + ... + 83303660.

It is an arithmetic number, because the mean of its divisors is an integer number (383775840).

Almost surely, 2^73390136820 is an apocalyptic number.

73390136820 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 73390136820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147369922560).

73390136820 is an abundant number, since it is smaller than the sum of its proper divisors (221349708300).

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

73390136820 is a wasteful number, since it uses less digits than its factorization.

73390136820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 73390136820 in words is "seventy-three billion, three hundred ninety million, one hundred thirty-six thousand, eight hundred twenty".