46751349960 has 640 divisors, whose sum is σ = 184415616000. Its totient is φ = 10403168256.

The previous prime is 46751349929. The next prime is 46751350001. The reversal of 46751349960 is 6994315764.

46751349960 is a `hidden beast` number, since 4 + 67 + 513 + 4 + 9 + 9 + 60 = 666.

46751349960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46751349897 and 46751349906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 173796706 + ... + 173796974.

It is an arithmetic number, because the mean of its divisors is an integer number (288149400).

Almost surely, 2^46751349960 is an apocalyptic number.

46751349960 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 46751349960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808000).

46751349960 is an abundant number, since it is smaller than the sum of its proper divisors (137664266040).

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

46751349960 is a wasteful number, since it uses less digits than its factorization.

46751349960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 46751349960 in words is "forty-six billion, seven hundred fifty-one million, three hundred forty-nine thousand, nine hundred sixty".