46956036960 has 576 divisors, whose sum is σ = 195085642752. Its totient is φ = 10440493056.

The previous prime is 46956036901. The next prime is 46956036961. The reversal of 46956036960 is 6963065964.

It is a happy number.

46956036960 is a `hidden beast` number, since 46 + 9 + 560 + 36 + 9 + 6 + 0 = 666.

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 = 46956036897 and 46956036906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46956036961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10067589 + ... + 10072251.

It is an arithmetic number, because the mean of its divisors is an integer number (338690352).

Almost surely, 2^46956036960 is an apocalyptic number.

46956036960 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 46956036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542821376).

46956036960 is an abundant number, since it is smaller than the sum of its proper divisors (148129605792).

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

46956036960 is a wasteful number, since it uses less digits than its factorization.

46956036960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 46956036960 in words is "forty-six billion, nine hundred fifty-six million, thirty-six thousand, nine hundred sixty".