7185991680 has 768 divisors, whose sum is σ = 30191616000. Its totient is φ = 1587216384.

The previous prime is 7185991639. The next prime is 7185991781. The reversal of 7185991680 is 861995817.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90961881 + ... + 90961959.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 2^7185991680 is an apocalyptic number.

7185991680 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 7185991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808000).

7185991680 is an abundant number, since it is smaller than the sum of its proper divisors (23005624320).

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

7185991680 is a wasteful number, since it uses less digits than its factorization.

7185991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The square root of 7185991680 is about 84770.2287362727. The cubic root of 7185991680 is about 1929.7256520735.

The spelling of 7185991680 in words is "seven billion, one hundred eighty-five million, nine hundred ninety-one thousand, six hundred eighty".