172836780480 has 1792 divisors, whose sum is σ = 810617794560. Its totient is φ = 33634123776.

The previous prime is 172836780461. The next prime is 172836780499. The reversal of 172836780480 is 84087638271.

It is a happy number.

172836780480 is a `hidden beast` number, since 1 + 7 + 2 + 83 + 6 + 7 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (172836780461) and next prime (172836780499).

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

It is a congruent number.

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, 895527264 + ... + 895527456.

It is an arithmetic number, because the mean of its divisors is an integer number (452353680).

Almost surely, 2^172836780480 is an apocalyptic number.

172836780480 is a gapful number since it is divisible by the number (10) 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 172836780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405308897280).

172836780480 is an abundant number, since it is smaller than the sum of its proper divisors (637781014080).

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

172836780480 is a wasteful number, since it uses less digits than its factorization.

172836780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 172836780480 in words is "one hundred seventy-two billion, eight hundred thirty-six million, seven hundred eighty thousand, four hundred eighty".