6874954536960 has 576 divisors, whose sum is σ = 24508687039200. Its totient is φ = 1781051424768.

The previous prime is 6874954536959. The next prime is 6874954537019. The reversal of 6874954536960 is 696354594786.

6874954536960 is a `hidden beast` number, since 6 + 8 + 7 + 49 + 545 + 36 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×6874954536960⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3229193176 + ... + 3229195304.

Almost surely, 2^{6874954536960} is an apocalyptic number.

6874954536960 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 6874954536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254343519600).

6874954536960 is an abundant number, since it is smaller than the sum of its proper divisors (17633732502240).

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

6874954536960 is a wasteful number, since it uses less digits than its factorization.

6874954536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 6874954536960 in words is "six trillion, eight hundred seventy-four billion, nine hundred fifty-four million, five hundred thirty-six thousand, nine hundred sixty".