7133448000 has 224 divisors, whose sum is σ = 26920228608. Its totient is φ = 1630464000.

The previous prime is 7133447963. The next prime is 7133448079. The reversal of 7133448000 is 8443317.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146770 + ... + 189230.

It is an arithmetic number, because the mean of its divisors is an integer number (120179592).

Almost surely, 2^7133448000 is an apocalyptic number.

7133448000 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 7133448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460114304).

7133448000 is an abundant number, since it is smaller than the sum of its proper divisors (19786780608).

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

7133448000 is a wasteful number, since it uses less digits than its factorization.

7133448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42498 (or 42478 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7133448000 is about 84459.7418892575. The cubic root of 7133448000 is about 1925.0107830958.

The spelling of 7133448000 in words is "seven billion, one hundred thirty-three million, four hundred forty-eight thousand".