47762680320 has 640 divisors, whose sum is σ = 181193760000. Its totient is φ = 12039487488.

The previous prime is 47762680309. The next prime is 47762680321. The reversal of 47762680320 is 2308626774.

It is a tau number, because it is divible by the number of its divisors (640).

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 (47762680321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106375456 + ... + 106375904.

It is an arithmetic number, because the mean of its divisors is an integer number (283115250).

Almost surely, 2^47762680320 is an apocalyptic number.

47762680320 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 47762680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90596880000).

47762680320 is an abundant number, since it is smaller than the sum of its proper divisors (133431079680).

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

47762680320 is an frugal number, since it uses more digits than its factorization.

47762680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 478 counting only the distinct ones).

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

The spelling of 47762680320 in words is "forty-seven billion, seven hundred sixty-two million, six hundred eighty thousand, three hundred twenty".