73484936328960 has 1440 divisors, whose sum is σ = 302965390432320. Its totient is φ = 16855282483200.

The previous prime is 73484936328931. The next prime is 73484936328967. The reversal of 73484936328960 is 6982363948437.

73484936328960 is a `hidden beast` number, since 7 + 3 + 48 + 493 + 6 + 3 + 2 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73484936328967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1562123040 + ... + 1562170080.

Almost surely, 2^{73484936328960} 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 73484936328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151482695216160).

73484936328960 is an abundant number, since it is smaller than the sum of its proper divisors (229480454103360).

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

73484936328960 is a wasteful number, since it uses less digits than its factorization.

73484936328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47167 (or 47144 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 73484936328960 in words is "seventy-three trillion, four hundred eighty-four billion, nine hundred thirty-six million, three hundred twenty-eight thousand, nine hundred sixty".