194976072480 has 384 divisors, whose sum is σ = 717786316800. Its totient is φ = 44469734400.

The previous prime is 194976072479. The next prime is 194976072493. The reversal of 194976072480 is 84270679491.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 194976072480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99935505 + ... + 99937455.

It is an arithmetic number, because the mean of its divisors is an integer number (1869235200).

Almost surely, 2^194976072480 is an apocalyptic number.

194976072480 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 194976072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358893158400).

194976072480 is an abundant number, since it is smaller than the sum of its proper divisors (522810244320).

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

194976072480 is a wasteful number, since it uses less digits than its factorization.

194976072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 194976072480 in words is "one hundred ninety-four billion, nine hundred seventy-six million, seventy-two thousand, four hundred eighty".