47974723200 has 768 divisors, whose sum is σ = 186456816000. Its totient is φ = 12025036800.

The previous prime is 47974723169. The next prime is 47974723201. The reversal of 47974723200 is 232747974.

It is a super-2 number, since 2×47974723200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47974723201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102729367 + ... + 102729833.

Almost surely, 2^47974723200 is an apocalyptic number.

47974723200 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 47974723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93228408000).

47974723200 is an abundant number, since it is smaller than the sum of its proper divisors (138482092800).

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

47974723200 is a wasteful number, since it uses less digits than its factorization.

47974723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 47974723200 in words is "forty-seven billion, nine hundred seventy-four million, seven hundred twenty-three thousand, two hundred".