73461548160 has 2048 divisors, whose sum is σ = 363228364800. Its totient is φ = 13536460800.

The previous prime is 73461548159. The next prime is 73461548179. The reversal of 73461548160 is 6184516437.

73461548160 is a `hidden beast` number, since 7 + 3 + 46 + 1 + 548 + 1 + 60 = 666.

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 255 ways as a sum of consecutive naturals, for example, 536215612 + ... + 536215748.

It is an arithmetic number, because the mean of its divisors is an integer number (177357600).

Almost surely, 2^73461548160 is an apocalyptic number.

73461548160 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 73461548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181614182400).

73461548160 is an abundant number, since it is smaller than the sum of its proper divisors (289766816640).

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

73461548160 is a wasteful number, since it uses less digits than its factorization.

73461548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 73461548160 in words is "seventy-three billion, four hundred sixty-one million, five hundred forty-eight thousand, one hundred sixty".