6476747400 has 144 divisors (see below), whose sum is σ = 21791016000. Its totient is φ = 1723962240.

The previous prime is 6476747377. The next prime is 6476747441. The reversal of 6476747400 is 47476746.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1075197 + ... + 1081203.

It is an arithmetic number, because the mean of its divisors is an integer number (151326500).

Almost surely, 2^6476747400 is an apocalyptic number.

6476747400 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 6476747400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10895508000).

6476747400 is an abundant number, since it is smaller than the sum of its proper divisors (15314268600).

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

6476747400 is a wasteful number, since it uses less digits than its factorization.

6476747400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 6476747400 is about 80478.2417799991. The cubic root of 6476747400 is about 1864.0275197482.

The spelling of 6476747400 in words is "six billion, four hundred seventy-six million, seven hundred forty-seven thousand, four hundred".