7140960000 has 900 divisors, whose sum is σ = 28974006600. Its totient is φ = 1741824000.

The previous prime is 7140959953. The next prime is 7140960011. The reversal of 7140960000 is 690417.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 246239986 + ... + 246240014.

Almost surely, 2^7140960000 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 7140960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487003300).

7140960000 is an abundant number, since it is smaller than the sum of its proper divisors (21833046600).

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

7140960000 is an equidigital number, since it uses as much as digits as its factorization.

7140960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7140960000 is about 84504.2010789996. The cubic root of 7140960000 is about 1925.6862679360.

The spelling of 7140960000 in words is "seven billion, one hundred forty million, nine hundred sixty thousand".