47793276355968 has 2304 divisors, whose sum is σ = 178167066255360. Its totient is φ = 12177285120000.

The previous prime is 47793276355961. The next prime is 47793276356003. The reversal of 47793276355968 is 86955367239774.

47793276355968 is a `hidden beast` number, since 4 + 77 + 93 + 27 + 6 + 355 + 96 + 8 = 666.

Its product of digits (14402707200) is a multiple of the sum of its prime divisors (675).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47793276355961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 91733735548 + ... + 91733736068.

It is an arithmetic number, because the mean of its divisors is an integer number (77329455840).

Almost surely, 2^{47793276355968} is an apocalyptic number.

47793276355968 is a gapful number since it is divisible by the number (48) 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 47793276355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89083533127680).

47793276355968 is an abundant number, since it is smaller than the sum of its proper divisors (130373789899392).

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

47793276355968 is a wasteful number, since it uses less digits than its factorization.

47793276355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 675 counting only the distinct ones).

The product of its digits is 14402707200, while the sum is 81.

The spelling of 47793276355968 in words is "forty-seven trillion, seven hundred ninety-three billion, two hundred seventy-six million, three hundred fifty-five thousand, nine hundred sixty-eight".