47760276480 has 1056 divisors, whose sum is σ = 193556459520. Its totient is φ = 9991618560.

The previous prime is 47760276479. The next prime is 47760276539. The reversal of 47760276480 is 8467206774.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 536632276 + ... + 536632364.

Almost surely, 2^47760276480 is an apocalyptic number.

47760276480 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 47760276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96778229760).

47760276480 is an abundant number, since it is smaller than the sum of its proper divisors (145796183040).

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

47760276480 is a wasteful number, since it uses less digits than its factorization.

47760276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 47760276480 in words is "forty-seven billion, seven hundred sixty million, two hundred seventy-six thousand, four hundred eighty".