7868137200 has 480 divisors, whose sum is σ = 33278584320. Its totient is φ = 1538457600.

The previous prime is 7868137181. The next prime is 7868137213. The reversal of 7868137200 is 27318687.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1568296 + ... + 1573304.

It is an arithmetic number, because the mean of its divisors is an integer number (69330384).

Almost surely, 2^7868137200 is an apocalyptic number.

7868137200 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 7868137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639292160).

7868137200 is an abundant number, since it is smaller than the sum of its proper divisors (25410447120).

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

7868137200 is a wasteful number, since it uses less digits than its factorization.

7868137200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 7868137200 is about 88702.5208210003. The cubic root of 7868137200 is about 1988.9505000293.

The spelling of 7868137200 in words is "seven billion, eight hundred sixty-eight million, one hundred thirty-seven thousand, two hundred".