7698378240 has 480 divisors, whose sum is σ = 31823811360. Its totient is φ = 1758855168.

The previous prime is 7698378239. The next prime is 7698378241. The reversal of 7698378240 is 428738967.

It is an interprime number because it is at equal distance from previous prime (7698378239) and next prime (7698378241).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7698378240² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7698378241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385744 + ... + 3388016.

It is an arithmetic number, because the mean of its divisors is an integer number (66299607).

Almost surely, 2^7698378240 is an apocalyptic number.

7698378240 is a gapful number since it is divisible by the number (70) 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 7698378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911905680).

7698378240 is an abundant number, since it is smaller than the sum of its proper divisors (24125433120).

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

7698378240 is a wasteful number, since it uses less digits than its factorization.

7698378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7698378240 is about 87740.4025520740. The cubic root of 7698378240 is about 1974.5421779168.

The spelling of 7698378240 in words is "seven billion, six hundred ninety-eight million, three hundred seventy-eight thousand, two hundred forty".