7129881600 has 528 divisors, whose sum is σ = 25732067328. Its totient is φ = 1734082560.

The previous prime is 7129881599. The next prime is 7129881601. The reversal of 7129881600 is 61889217.

It is an interprime number because it is at equal distance from previous prime (7129881599) and next prime (7129881601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7129881601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56140737 + ... + 56140863.

It is an arithmetic number, because the mean of its divisors is an integer number (48734976).

Almost surely, 2^7129881600 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 7129881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12866033664).

7129881600 is an abundant number, since it is smaller than the sum of its proper divisors (18602185728).

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

7129881600 is a wasteful number, since it uses less digits than its factorization.

7129881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 7129881600 is about 84438.6262323115. The cubic root of 7129881600 is about 1924.6899236322.

The spelling of 7129881600 in words is "seven billion, one hundred twenty-nine million, eight hundred eighty-one thousand, six hundred".