73141094880 has 672 divisors, whose sum is σ = 306395006400. Its totient is φ = 16136257536.

The previous prime is 73141094861. The next prime is 73141094881. The reversal of 73141094880 is 8849014137.

It is a happy number.

73141094880 is a `hidden beast` number, since 73 + 1 + 410 + 94 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73141094881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23676376 + ... + 23679464.

It is an arithmetic number, because the mean of its divisors is an integer number (455944950).

Almost surely, 2^73141094880 is an apocalyptic number.

73141094880 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 73141094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153197503200).

73141094880 is an abundant number, since it is smaller than the sum of its proper divisors (233253911520).

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

73141094880 is a wasteful number, since it uses less digits than its factorization.

73141094880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 73141094880 in words is "seventy-three billion, one hundred forty-one million, ninety-four thousand, eight hundred eighty".