273372024465540 has 3840 divisors, whose sum is σ = 1245407527526400. Its totient is φ = 48930797260800.

The previous prime is 273372024465509. The next prime is 273372024465557. The reversal of 273372024465540 is 45564420273372.

It is a happy number.

273372024465540 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 7 + 20 + 24 + 46 + 554 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 250111641234 + ... + 250111642326.

It is an arithmetic number, because the mean of its divisors is an integer number (324324876960).

Almost surely, 2^{273372024465540} is an apocalyptic number.

273372024465540 is a gapful number since it is divisible by the number (20) 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 273372024465540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622703763763200).

273372024465540 is an abundant number, since it is smaller than the sum of its proper divisors (972035503060860).

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

273372024465540 is a wasteful number, since it uses less digits than its factorization.

273372024465540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 54.

The spelling of 273372024465540 in words is "two hundred seventy-three trillion, three hundred seventy-two billion, twenty-four million, four hundred sixty-five thousand, five hundred forty".