73626373920 has 384 divisors, whose sum is σ = 270191738880. Its totient is φ = 16676352000.

The previous prime is 73626373913. The next prime is 73626373967. The reversal of 73626373920 is 2937362637.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73626373920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4738965 + ... + 4754475.

It is an arithmetic number, because the mean of its divisors is an integer number (703624320).

Almost surely, 2^73626373920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73626373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135095869440).

73626373920 is an abundant number, since it is smaller than the sum of its proper divisors (196565364960).

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

73626373920 is a wasteful number, since it uses less digits than its factorization.

73626373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15600 (or 15592 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 48.

The spelling of 73626373920 in words is "seventy-three billion, six hundred twenty-six million, three hundred seventy-three thousand, nine hundred twenty".