6474251820960 has 1536 divisors, whose sum is σ = 29797731532800. Its totient is φ = 1271944581120.

The previous prime is 6474251820929. The next prime is 6474251820983. The reversal of 6474251820960 is 690281524746.

6474251820960 is a `hidden beast` number, since 6 + 4 + 7 + 42 + 518 + 20 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6474251820897 and 6474251820906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5454297487 + ... + 5454298673.

It is an arithmetic number, because the mean of its divisors is an integer number (19399564800).

Almost surely, 2^{6474251820960} is an apocalyptic number.

6474251820960 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 6474251820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898865766400).

6474251820960 is an abundant number, since it is smaller than the sum of its proper divisors (23323479711840).

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

6474251820960 is a wasteful number, since it uses less digits than its factorization.

6474251820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6474251820960 in words is "six trillion, four hundred seventy-four billion, two hundred fifty-one million, eight hundred twenty thousand, nine hundred sixty".