7814497680 has 400 divisors, whose sum is σ = 30418749504. Its totient is φ = 1842600960.

The previous prime is 7814497679. The next prime is 7814497681. The reversal of 7814497680 is 867944187.

It is a happy number.

7814497680 is a `hidden beast` number, since 78 + 1 + 4 + 497 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (7814497679) and next prime (7814497681).

It is a super-2 number, since 2×7814497680² (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 not an unprimeable number, because it can be changed into a prime (7814497681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2635879 + ... + 2638841.

Almost surely, 2^7814497680 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 7814497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209374752).

7814497680 is an abundant number, since it is smaller than the sum of its proper divisors (22604251824).

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

7814497680 is a wasteful number, since it uses less digits than its factorization.

7814497680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 7814497680 is about 88399.6475106095. The cubic root of 7814497680 is about 1984.4204269114.

The spelling of 7814497680 in words is "seven billion, eight hundred fourteen million, four hundred ninety-seven thousand, six hundred eighty".