73254032026560 has 1764 divisors, whose sum is σ = 334412426280744. Its totient is φ = 15221329643520.

The previous prime is 73254032026481. The next prime is 73254032026583. The reversal of 73254032026560 is 6562023045237.

73254032026560 is a `hidden beast` number, since 7 + 3 + 2 + 5 + 4 + 0 + 320 + 265 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1764).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1383090639 + ... + 1383143601.

Almost surely, 2^{73254032026560} is an apocalyptic number.

73254032026560 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 73254032026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167206213140372).

73254032026560 is an abundant number, since it is smaller than the sum of its proper divisors (261158394254184).

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

73254032026560 is a wasteful number, since it uses less digits than its factorization.

73254032026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53034 (or 52991 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 73254032026560 in words is "seventy-three trillion, two hundred fifty-four billion, thirty-two million, twenty-six thousand, five hundred sixty".