268472469540 has 192 divisors, whose sum is σ = 828326983680. Its totient is φ = 64967126400.

The previous prime is 268472469539. The next prime is 268472469571. The reversal of 268472469540 is 45964274862.

It is a super-3 number, since 3×268472469540³ (a number of 35 digits) contains 333 as substring.

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, 49430625 + ... + 49436055.

It is an arithmetic number, because the mean of its divisors is an integer number (4314203040).

Almost surely, 2^268472469540 is an apocalyptic number.

268472469540 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 268472469540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414163491840).

268472469540 is an abundant number, since it is smaller than the sum of its proper divisors (559854514140).

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

268472469540 is a wasteful number, since it uses less digits than its factorization.

268472469540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 268472469540 in words is "two hundred sixty-eight billion, four hundred seventy-two million, four hundred sixty-nine thousand, five hundred forty".