46729460736 has 528 divisors, whose sum is σ = 170538026400. Its totient is φ = 12559712256.

The previous prime is 46729460711. The next prime is 46729460737. The reversal of 46729460736 is 63706492764.

46729460736 is a `hidden beast` number, since 4 + 6 + 7 + 29 + 4 + 607 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46729460737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23029770 + ... + 23031798.

Almost surely, 2^46729460736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46729460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85269013200).

46729460736 is an abundant number, since it is smaller than the sum of its proper divisors (123808565664).

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

46729460736 is a wasteful number, since it uses less digits than its factorization.

46729460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 46729460736 in words is "forty-six billion, seven hundred twenty-nine million, four hundred sixty thousand, seven hundred thirty-six".