7131891690 has 288 divisors, whose sum is σ = 23841941760. Its totient is φ = 1462406400.

The previous prime is 7131891631. The next prime is 7131891703. The reversal of 7131891690 is 961981317.

It is a super-2 number, since 2×7131891690² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3831360 + ... + 3833220.

It is an arithmetic number, because the mean of its divisors is an integer number (82784520).

Almost surely, 2^7131891690 is an apocalyptic number.

7131891690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7131891690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920970880).

7131891690 is an abundant number, since it is smaller than the sum of its proper divisors (16710050070).

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

7131891690 is a wasteful number, since it uses less digits than its factorization.

7131891690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 7131891690 is about 84450.5280622922. The cubic root of 7131891690 is about 1924.8707792047.

The spelling of 7131891690 in words is "seven billion, one hundred thirty-one million, eight hundred ninety-one thousand, six hundred ninety".