9778663440 has 1200 divisors, whose sum is σ = 44827630848. Its totient is φ = 1954326528.

The previous prime is 9778663429. The next prime is 9778663451. The reversal of 9778663440 is 443668779.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9778663429) and next prime (9778663451).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94938429 + ... + 94938531.

Almost surely, 2^9778663440 is an apocalyptic number.

9778663440 is a gapful number since it is divisible by the number (90) 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 9778663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22413815424).

9778663440 is an abundant number, since it is smaller than the sum of its proper divisors (35048967408).

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

9778663440 is a wasteful number, since it uses less digits than its factorization.

9778663440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 9778663440 is about 98887.1247433153. The cubic root of 9778663440 is about 2138.4207815021.

The spelling of 9778663440 in words is "nine billion, seven hundred seventy-eight million, six hundred sixty-three thousand, four hundred forty".