46961780736 has 192 divisors, whose sum is σ = 135197899200. Its totient is φ = 14410579968.

The previous prime is 46961780717. The next prime is 46961780783. The reversal of 46961780736 is 63708716964.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×46961780736² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46085635 + ... + 46086653.

It is an arithmetic number, because the mean of its divisors is an integer number (704155725).

Almost surely, 2^46961780736 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 46961780736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67598949600).

46961780736 is an abundant number, since it is smaller than the sum of its proper divisors (88236118464).

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

46961780736 is a wasteful number, since it uses less digits than its factorization.

46961780736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 46961780736 in words is "forty-six billion, nine hundred sixty-one million, seven hundred eighty thousand, seven hundred thirty-six".