6274077480 has 384 divisors, whose sum is σ = 23568451200. Its totient is φ = 1482624000.

The previous prime is 6274077463. The next prime is 6274077503. The reversal of 6274077480 is 847704726.

6274077480 is a `hidden beast` number, since 62 + 7 + 40 + 77 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5357295 + ... + 5358465.

It is an arithmetic number, because the mean of its divisors is an integer number (61376175).

Almost surely, 2^6274077480 is an apocalyptic number.

6274077480 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 6274077480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784225600).

6274077480 is an abundant number, since it is smaller than the sum of its proper divisors (17294373720).

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

6274077480 is a wasteful number, since it uses less digits than its factorization.

6274077480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 6274077480 is about 79209.0744801377. The cubic root of 6274077480 is about 1844.3781101878.

The spelling of 6274077480 in words is "six billion, two hundred seventy-four million, seventy-seven thousand, four hundred eighty".