6275148400512 has 384 divisors, whose sum is σ = 19637275008000. Its totient is φ = 1916105932800.

The previous prime is 6275148400501. The next prime is 6275148400559. The reversal of 6275148400512 is 2150048415726.

6275148400512 is a `hidden beast` number, since 6 + 2 + 7 + 51 + 4 + 84 + 0 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1010325087 + ... + 1010331297.

It is an arithmetic number, because the mean of its divisors is an integer number (51138737000).

Almost surely, 2^{6275148400512} is an apocalyptic number.

6275148400512 is a gapful number since it is divisible by the number (62) 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 6275148400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9818637504000).

6275148400512 is an abundant number, since it is smaller than the sum of its proper divisors (13362126607488).

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

6275148400512 is a wasteful number, since it uses less digits than its factorization.

6275148400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 6275148400512 in words is "six trillion, two hundred seventy-five billion, one hundred forty-eight million, four hundred thousand, five hundred twelve".