47970249600 has 768 divisors, whose sum is σ = 199142254080. Its totient is φ = 9878077440.

The previous prime is 47970249583. The next prime is 47970249629. The reversal of 47970249600 is 694207974.

It is a super-2 number, since 2×47970249600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47970249600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37564162 + ... + 37565438.

It is an arithmetic number, because the mean of its divisors is an integer number (259299810).

Almost surely, 2^47970249600 is an apocalyptic number.

47970249600 is a gapful number since it is divisible by the number (40) 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 47970249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99571127040).

47970249600 is an abundant number, since it is smaller than the sum of its proper divisors (151172004480).

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

47970249600 is a wasteful number, since it uses less digits than its factorization.

47970249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 47970249600 in words is "forty-seven billion, nine hundred seventy million, two hundred forty-nine thousand, six hundred".