7191890640 has 640 divisors, whose sum is σ = 28926720000. Its totient is φ = 1624043520.

The previous prime is 7191890639. The next prime is 7191890683. The reversal of 7191890640 is 460981917.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40178071 + ... + 40178249.

It is an arithmetic number, because the mean of its divisors is an integer number (45198000).

Almost surely, 2^7191890640 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 7191890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360000).

7191890640 is an abundant number, since it is smaller than the sum of its proper divisors (21734829360).

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

7191890640 is a wasteful number, since it uses less digits than its factorization.

7191890640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 7191890640 is about 84805.0154177216. The cubic root of 7191890640 is about 1930.2535430731.

The spelling of 7191890640 in words is "seven billion, one hundred ninety-one million, eight hundred ninety thousand, six hundred forty".