6986465460 has 240 divisors, whose sum is σ = 23764285776. Its totient is φ = 1707982848.

The previous prime is 6986465411. The next prime is 6986465461. The reversal of 6986465460 is 645646896.

6986465460 is a `hidden beast` number, since 6 + 98 + 6 + 4 + 6 + 546 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3247632144 + 3738833316 = 56988^2 + 61146^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6986465397 and 6986465406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6986465461) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3305364 + ... + 3307476.

Almost surely, 2^6986465460 is an apocalyptic number.

6986465460 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 6986465460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882142888).

6986465460 is an abundant number, since it is smaller than the sum of its proper divisors (16777820316).

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

6986465460 is a wasteful number, since it uses less digits than its factorization.

6986465460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 6986465460 is about 83585.0791708664. The cubic root of 6986465460 is about 1911.6974995282.

The spelling of 6986465460 in words is "six billion, nine hundred eighty-six million, four hundred sixty-five thousand, four hundred sixty".