7868340480 has 1152 divisors, whose sum is σ = 35602882560. Its totient is φ = 1427374080.

The previous prime is 7868340451. The next prime is 7868340481. The reversal of 7868340480 is 840438687.

It is a super-3 number, since 3×7868340480³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7868340481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88408276 + ... + 88408364.

It is an arithmetic number, because the mean of its divisors is an integer number (30905280).

Almost surely, 2^7868340480 is an apocalyptic number.

7868340480 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 7868340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801441280).

7868340480 is an abundant number, since it is smaller than the sum of its proper divisors (27734542080).

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

7868340480 is a wasteful number, since it uses less digits than its factorization.

7868340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 7868340480 is about 88703.6666660404. Note that the first 6 decimals coincide. The cubic root of 7868340480 is about 1988.9676286230.

The spelling of 7868340480 in words is "seven billion, eight hundred sixty-eight million, three hundred forty thousand, four hundred eighty".