6745400064 has 432 divisors, whose sum is σ = 22915692800. Its totient is φ = 1961791488.

The previous prime is 6745400059. The next prime is 6745400119. The reversal of 6745400064 is 4600045476.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6745400064² = 91000844046822408192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 15365157 + ... + 15365595.

Almost surely, 2^6745400064 is an apocalyptic number.

6745400064 is a gapful number since it is divisible by the number (64) 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 6745400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457846400).

6745400064 is an abundant number, since it is smaller than the sum of its proper divisors (16170292736).

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

6745400064 is a wasteful number, since it uses less digits than its factorization.

6745400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6745400064 is about 82130.3845358099. The cubic root of 6745400064 is about 1889.4521768278.

The spelling of 6745400064 in words is "six billion, seven hundred forty-five million, four hundred thousand, sixty-four".