208976327040 has 512 divisors, whose sum is σ = 784099491840. Its totient is φ = 46849720320.

The previous prime is 208976327011. The next prime is 208976327041. The reversal of 208976327040 is 40723679802.

It is a super-2 number, since 2×208976327040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208976327041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13145977 + ... + 13161863.

It is an arithmetic number, because the mean of its divisors is an integer number (1531444320).

Almost surely, 2^208976327040 is an apocalyptic number.

208976327040 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 208976327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392049745920).

208976327040 is an abundant number, since it is smaller than the sum of its proper divisors (575123164800).

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

208976327040 is a wasteful number, since it uses less digits than its factorization.

208976327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15970 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 208976327040 in words is "two hundred eight billion, nine hundred seventy-six million, three hundred twenty-seven thousand, forty".