6150746880 has 864 divisors, whose sum is σ = 25231953600. Its totient is φ = 1412038656.

The previous prime is 6150746857. The next prime is 6150746891. The reversal of 6150746880 is 886470516.

It is a happy number.

6150746880 is a `hidden beast` number, since 6 + 1 + 507 + 4 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 212094706 + ... + 212094734.

It is an arithmetic number, because the mean of its divisors is an integer number (29203650).

Almost surely, 2^6150746880 is an apocalyptic number.

6150746880 is a gapful number since it is divisible by the number (60) 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 6150746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12615976800).

6150746880 is an abundant number, since it is smaller than the sum of its proper divisors (19081206720).

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

6150746880 is a wasteful number, since it uses less digits than its factorization.

6150746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6150746880 is about 78426.6974951770. The cubic root of 6150746880 is about 1832.2129638076.

The spelling of 6150746880 in words is "six billion, one hundred fifty million, seven hundred forty-six thousand, eight hundred eighty".