6847513916040 has 480 divisors, whose sum is σ = 26794418765400. Its totient is φ = 1563885066240.

The previous prime is 6847513916021. The next prime is 6847513916071. The reversal of 6847513916040 is 406193157486.

6847513916040 is a `hidden beast` number, since 6 + 8 + 475 + 1 + 3 + 9 + 160 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6266220510564 + 581293405476 = 2503242^2 + 762426^2 .

It is a super-2 number, since 2×6847513916040² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 204624910 + ... + 204658370.

Almost surely, 2^{6847513916040} is an apocalyptic number.

6847513916040 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 6847513916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397209382700).

6847513916040 is an abundant number, since it is smaller than the sum of its proper divisors (19946904849360).

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

6847513916040 is a wasteful number, since it uses less digits than its factorization.

6847513916040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34787 (or 34767 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 6847513916040 in words is "six trillion, eight hundred forty-seven billion, five hundred thirteen million, nine hundred sixteen thousand, forty".