6485740800 has 864 divisors, whose sum is σ = 27592233984. Its totient is φ = 1302528000.

The previous prime is 6485740777. The next prime is 6485740817. The reversal of 6485740800 is 80475846.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60614347 + ... + 60614453.

It is an arithmetic number, because the mean of its divisors is an integer number (31935456).

Almost surely, 2^6485740800 is an apocalyptic number.

6485740800 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 6485740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13796116992).

6485740800 is an abundant number, since it is smaller than the sum of its proper divisors (21106493184).

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

6485740800 is a wasteful number, since it uses less digits than its factorization.

6485740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 6485740800 is about 80534.0971266208. The cubic root of 6485740800 is about 1864.8898966355.

The spelling of 6485740800 in words is "six billion, four hundred eighty-five million, seven hundred forty thousand, eight hundred".