46748761920 has 672 divisors, whose sum is σ = 188293248000. Its totient is φ = 10426171392.

The previous prime is 46748761889. The next prime is 46748761921. The reversal of 46748761920 is 2916784764.

46748761920 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 (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46748761921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237303262 + ... + 237303458.

Almost surely, 2^46748761920 is an apocalyptic number.

46748761920 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 46748761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94146624000).

46748761920 is an abundant number, since it is smaller than the sum of its proper divisors (141544486080).

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

46748761920 is a wasteful number, since it uses less digits than its factorization.

46748761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 46748761920 in words is "forty-six billion, seven hundred forty-eight million, seven hundred sixty-one thousand, nine hundred twenty".