6474088857600 has 2160 divisors, whose sum is σ = 29829713692800. Its totient is φ = 1364475248640.

The previous prime is 6474088857553. The next prime is 6474088857617. The reversal of 6474088857600 is 67588804746.

6474088857600 is a `hidden beast` number, since 6 + 47 + 408 + 88 + 57 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×6474088857600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7044709941 + ... + 7044710859.

Almost surely, 2^{6474088857600} is an apocalyptic number.

6474088857600 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 6474088857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914856846400).

6474088857600 is an abundant number, since it is smaller than the sum of its proper divisors (23355624835200).

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

6474088857600 is a wasteful number, since it uses less digits than its factorization.

6474088857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 6474088857600 in words is "six trillion, four hundred seventy-four billion, eighty-eight million, eight hundred fifty-seven thousand, six hundred".