6761387520 has 280 divisors, whose sum is σ = 24312814416. Its totient is φ = 1802539008.

The previous prime is 6761387491. The next prime is 6761387527. The reversal of 6761387520 is 257831676.

6761387520 is a `hidden beast` number, since 6 + 7 + 613 + 8 + 7 + 5 + 20 = 666.

It is a super-2 number, since 2×6761387520² = 91432722391223500800, which contains 22 as substring.

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 (6761387527) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1864429 + ... + 1868051.

Almost surely, 2^6761387520 is an apocalyptic number.

6761387520 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 6761387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156407208).

6761387520 is an abundant number, since it is smaller than the sum of its proper divisors (17551426896).

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

6761387520 is an frugal number, since it uses more digits than its factorization.

6761387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6761387520 is about 82227.6566612475. The cubic root of 6761387520 is about 1890.9437463614.

The spelling of 6761387520 in words is "six billion, seven hundred sixty-one million, three hundred eighty-seven thousand, five hundred twenty".