6761478240 has 480 divisors, whose sum is σ = 26661229056. Its totient is φ = 1599575040.

The previous prime is 6761478211. The next prime is 6761478247. The reversal of 6761478240 is 428741676.

6761478240 is a `hidden beast` number, since 6 + 7 + 614 + 7 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6761478247) 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, 6129529 + ... + 6130631.

Almost surely, 2^6761478240 is an apocalyptic number.

6761478240 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 6761478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330614528).

6761478240 is an abundant number, since it is smaller than the sum of its proper divisors (19899750816).

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

6761478240 is a wasteful number, since it uses less digits than its factorization.

6761478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6761478240 is about 82228.2082986125. The cubic root of 6761478240 is about 1890.9522034840.

The spelling of 6761478240 in words is "six billion, seven hundred sixty-one million, four hundred seventy-eight thousand, two hundred forty".