6121968975360 has 2560 divisors, whose sum is σ = 28374412492800. Its totient is φ = 1217325957120.

The previous prime is 6121968975329. The next prime is 6121968975371. The reversal of 6121968975360 is 635798691216.

6121968975360 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 9 + 6 + 8 + 97 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6720053305 + ... + 6720054215.

It is an arithmetic number, because the mean of its divisors is an integer number (11083754880).

Almost surely, 2^{6121968975360} is an apocalyptic number.

6121968975360 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 6121968975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14187206246400).

6121968975360 is an abundant number, since it is smaller than the sum of its proper divisors (22252443517440).

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

6121968975360 is a wasteful number, since it uses less digits than its factorization.

6121968975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 6121968975360 in words is "six trillion, one hundred twenty-one billion, nine hundred sixty-eight million, nine hundred seventy-five thousand, three hundred sixty".