47364633360 has 800 divisors, whose sum is σ = 193738849920. Its totient is φ = 10600243200.

The previous prime is 47364633271. The next prime is 47364633413. The reversal of 47364633360 is 6333646374.

47364633360 is a `hidden beast` number, since 4 + 7 + 3 + 6 + 4 + 633 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55526694 + ... + 55527546.

Almost surely, 2^47364633360 is an apocalyptic number.

47364633360 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 47364633360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96869424960).

47364633360 is an abundant number, since it is smaller than the sum of its proper divisors (146374216560).

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

47364633360 is a wasteful number, since it uses less digits than its factorization.

47364633360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 45.

The spelling of 47364633360 in words is "forty-seven billion, three hundred sixty-four million, six hundred thirty-three thousand, three hundred sixty".