47545023680 has 448 divisors, whose sum is σ = 146505314304. Its totient is φ = 14385254400.

The previous prime is 47545023677. The next prime is 47545023727. The reversal of 47545023680 is 8632054574.

47545023680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110313065 + ... + 110313495.

Almost surely, 2^47545023680 is an apocalyptic number.

47545023680 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 47545023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73252657152).

47545023680 is an abundant number, since it is smaller than the sum of its proper divisors (98960290624).

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

47545023680 is a wasteful number, since it uses less digits than its factorization.

47545023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 47545023680 in words is "forty-seven billion, five hundred forty-five million, twenty-three thousand, six hundred eighty".