202494919680 has 440 divisors, whose sum is σ = 743387946840. Its totient is φ = 52677181440.

The previous prime is 202494919619. The next prime is 202494919681. The reversal of 202494919680 is 86919494202.

202494919680 is a `hidden beast` number, since 2 + 0 + 2 + 494 + 91 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 383533056 + 202111386624 = 19584^2 + 449568^2 .

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

It is not an unprimeable number, because it can be changed into a prime (202494919681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16997566 + ... + 17009474.

It is an arithmetic number, because the mean of its divisors is an integer number (1689518061).

Almost surely, 2^202494919680 is an apocalyptic number.

202494919680 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 202494919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371693973420).

202494919680 is an abundant number, since it is smaller than the sum of its proper divisors (540893027160).

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

202494919680 is a wasteful number, since it uses less digits than its factorization.

202494919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11987 (or 11960 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 202494919680 in words is "two hundred two billion, four hundred ninety-four million, nine hundred nineteen thousand, six hundred eighty".