9778137408 has 336 divisors, whose sum is σ = 32094251280. Its totient is φ = 2824077312.

The previous prime is 9778137373. The next prime is 9778137463. The reversal of 9778137408 is 8047318779.

It can be written as a sum of positive squares in 8 ways, for example, as 15116544 + 9763020864 = 3888^2 + 98808^2 .

It is a super-2 number, since 2×9778137408² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8034016 + ... + 8035232.

It is an arithmetic number, because the mean of its divisors is an integer number (95518605).

Almost surely, 2^9778137408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9778137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047125640).

9778137408 is an abundant number, since it is smaller than the sum of its proper divisors (22316113872).

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

9778137408 is a wasteful number, since it uses less digits than its factorization.

9778137408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 9778137408 is about 98884.4649477359. The cubic root of 9778137408 is about 2138.3824361823.

The spelling of 9778137408 in words is "nine billion, seven hundred seventy-eight million, one hundred thirty-seven thousand, four hundred eight".