6987150450 has 768 divisors, whose sum is σ = 25506938880. Its totient is φ = 1368576000.

The previous prime is 6987150439. The next prime is 6987150479. The reversal of 6987150450 is 540517896.

6987150450 is a `hidden beast` number, since 6 + 98 + 7 + 1 + 504 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6987150396 and 6987150405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 114543420 + ... + 114543480.

It is an arithmetic number, because the mean of its divisors is an integer number (33212160).

Almost surely, 2^6987150450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6987150450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753469440).

6987150450 is an abundant number, since it is smaller than the sum of its proper divisors (18519788430).

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

6987150450 is a wasteful number, since it uses less digits than its factorization.

6987150450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 6987150450 is about 83589.1766319061. The cubic root of 6987150450 is about 1911.7599751288.

The spelling of 6987150450 in words is "six billion, nine hundred eighty-seven million, one hundred fifty thousand, four hundred fifty".