73448077320 has 512 divisors, whose sum is σ = 268144128000. Its totient is φ = 17818859520.

The previous prime is 73448077319. The next prime is 73448077321. The reversal of 73448077320 is 2377084437.

73448077320 is a `hidden beast` number, since 73 + 4 + 480 + 77 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73448077319) and next prime (73448077321).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (73448077321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56367789 + ... + 56369091.

It is an arithmetic number, because the mean of its divisors is an integer number (523719000).

Almost surely, 2^73448077320 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 73448077320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134072064000).

73448077320 is an abundant number, since it is smaller than the sum of its proper divisors (194696050680).

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

73448077320 is a wasteful number, since it uses less digits than its factorization.

73448077320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 73448077320 in words is "seventy-three billion, four hundred forty-eight million, seventy-seven thousand, three hundred twenty".