6072942919680 has 2176 divisors, whose sum is σ = 28044580300800. Its totient is φ = 1210828455936.

The previous prime is 6072942919621. The next prime is 6072942919709. The reversal of 6072942919680 is 869192492706.

6072942919680 is a `hidden beast` number, since 60 + 7 + 294 + 29 + 196 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 15297085242 + ... + 15297085638.

Almost surely, 2^{6072942919680} is an apocalyptic number.

6072942919680 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 6072942919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022290150400).

6072942919680 is an abundant number, since it is smaller than the sum of its proper divisors (21971637381120).

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

6072942919680 is a wasteful number, since it uses less digits than its factorization.

6072942919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 6072942919680 in words is "six trillion, seventy-two billion, nine hundred forty-two million, nine hundred nineteen thousand, six hundred eighty".