47042946720 has 1920 divisors, whose sum is σ = 227621560320. Its totient is φ = 8851783680.

The previous prime is 47042946689. The next prime is 47042946721. The reversal of 47042946720 is 2764924074.

It is a super-2 number, since 2×47042946720² (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 not an unprimeable number, because it can be changed into a prime (47042946721) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 797338051 + ... + 797338109.

It is an arithmetic number, because the mean of its divisors is an integer number (118552896).

Almost surely, 2^47042946720 is an apocalyptic number.

47042946720 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 47042946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113810780160).

47042946720 is an abundant number, since it is smaller than the sum of its proper divisors (180578613600).

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

47042946720 is a wasteful number, since it uses less digits than its factorization.

47042946720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 47042946720 in words is "forty-seven billion, forty-two million, nine hundred forty-six thousand, seven hundred twenty".