6787265400 has 240 divisors, whose sum is σ = 23685314400. Its totient is φ = 1801336320.

The previous prime is 6787265399. The next prime is 6787265417. The reversal of 6787265400 is 45627876.

6787265400 is a `hidden beast` number, since 6 + 7 + 87 + 26 + 540 + 0 = 666.

It is a super-2 number, since 2×6787265400² = 92133943220074320000, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3870924 + ... + 3872676.

It is an arithmetic number, because the mean of its divisors is an integer number (98688810).

Almost surely, 2^6787265400 is an apocalyptic number.

6787265400 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 6787265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11842657200).

6787265400 is an abundant number, since it is smaller than the sum of its proper divisors (16898049000).

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

6787265400 is a wasteful number, since it uses less digits than its factorization.

6787265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6787265400 is about 82384.8614734528. The cubic root of 6787265400 is about 1893.3530802289.

The spelling of 6787265400 in words is "six billion, seven hundred eighty-seven million, two hundred sixty-five thousand, four hundred".