6491129486400 has 1344 divisors, whose sum is σ = 25849195545600. Its totient is φ = 1575042416640.

The previous prime is 6491129486363. The next prime is 6491129486407. The reversal of 6491129486400 is 46849211946.

6491129486400 is a `hidden beast` number, since 6 + 4 + 9 + 112 + 9 + 486 + 40 + 0 = 666.

It is a super-3 number, since 3×6491129486400³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6491129486407) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 18388468624 + ... + 18388468976.

It is an arithmetic number, because the mean of its divisors is an integer number (19233032400).

Almost surely, 2^{6491129486400} is an apocalyptic number.

6491129486400 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 6491129486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924597772800).

6491129486400 is an abundant number, since it is smaller than the sum of its proper divisors (19358066059200).

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

6491129486400 is a wasteful number, since it uses less digits than its factorization.

6491129486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 6491129486400 in words is "six trillion, four hundred ninety-one billion, one hundred twenty-nine million, four hundred eighty-six thousand, four hundred".