6474251000160 has 1536 divisors, whose sum is σ = 25659157708800. Its totient is φ = 1516783656960.

The previous prime is 6474251000153. The next prime is 6474251000177. The reversal of 6474251000160 is 610001524746.

6474251000160 is a `hidden beast` number, since 6 + 47 + 42 + 510 + 0 + 0 + 1 + 60 = 666.

It is a super-3 number, since 3×6474251000160³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11623430602 + ... + 11623431158.

It is an arithmetic number, because the mean of its divisors is an integer number (16705180800).

Almost surely, 2^{6474251000160} is an apocalyptic number.

6474251000160 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 6474251000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829578854400).

6474251000160 is an abundant number, since it is smaller than the sum of its proper divisors (19184906708640).

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

6474251000160 is a wasteful number, since it uses less digits than its factorization.

6474251000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 6474251000160 in words is "six trillion, four hundred seventy-four billion, two hundred fifty-one million, one hundred sixty", and thus it is an aban number.