73060878240 has 576 divisors, whose sum is σ = 309086668800. Its totient is φ = 15332474880.

The previous prime is 73060878221. The next prime is 73060878259. The reversal of 73060878240 is 4287806037.

It is a happy number.

73060878240 is a `hidden beast` number, since 7 + 30 + 608 + 7 + 8 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73060878221) and next prime (73060878259).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7020561 + ... + 7030959.

It is an arithmetic number, because the mean of its divisors is an integer number (536608800).

Almost surely, 2^73060878240 is an apocalyptic number.

73060878240 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 73060878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154543334400).

73060878240 is an abundant number, since it is smaller than the sum of its proper divisors (236025790560).

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

73060878240 is a wasteful number, since it uses less digits than its factorization.

73060878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10485 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 73060878240 in words is "seventy-three billion, sixty million, eight hundred seventy-eight thousand, two hundred forty".