6487151400 has 144 divisors (see below), whose sum is σ = 21856664700. Its totient is φ = 1724298240.

The previous prime is 6487151393. The next prime is 6487151417. The reversal of 6487151400 is 41517846.

It is a happy number.

6487151400 is a `hidden beast` number, since 64 + 87 + 1 + 514 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1023872004 + 5463279396 = 31998^2 + 73914^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564916 + ... + 576284.

Almost surely, 2^6487151400 is an apocalyptic number.

6487151400 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 6487151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928332350).

6487151400 is an abundant number, since it is smaller than the sum of its proper divisors (15369513300).

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

6487151400 is a wasteful number, since it uses less digits than its factorization.

6487151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11708 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6487151400 is about 80542.8544316627. The cubic root of 6487151400 is about 1865.0250866921.

The spelling of 6487151400 in words is "six billion, four hundred eighty-seven million, one hundred fifty-one thousand, four hundred".