47378415756672 has 1024 divisors, whose sum is σ = 194221069056000. Its totient is φ = 10967731568640.

The previous prime is 47378415756647. The next prime is 47378415756703. The reversal of 47378415756672 is 27665751487374.

47378415756672 is a `hidden beast` number, since 4 + 7 + 3 + 7 + 8 + 4 + 1 + 57 + 566 + 7 + 2 = 666.

It is a super-2 number, since 2×47378415756672² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47378415756672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100088098 + ... + 100560350.

It is an arithmetic number, because the mean of its divisors is an integer number (189669012750).

Almost surely, 2^{47378415756672} is an apocalyptic number.

47378415756672 is a gapful number since it is divisible by the number (42) 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 47378415756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97110534528000).

47378415756672 is an abundant number, since it is smaller than the sum of its proper divisors (146842653299328).

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

47378415756672 is a wasteful number, since it uses less digits than its factorization.

47378415756672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472336 (or 472318 counting only the distinct ones).

The product of its digits is 1659571200, while the sum is 72.

The spelling of 47378415756672 in words is "forty-seven trillion, three hundred seventy-eight billion, four hundred fifteen million, seven hundred fifty-six thousand, six hundred seventy-two".