46709076960 has 288 divisors, whose sum is σ = 196178673600. Its totient is φ = 9855074304.

The previous prime is 46709076941. The next prime is 46709076979. The reversal of 46709076960 is 6967090764.

46709076960 is a `hidden beast` number, since 467 + 0 + 90 + 7 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46709076941) and next prime (46709076979).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 46709076897 and 46709076906.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47185 + ... + 309264.

It is an arithmetic number, because the mean of its divisors is an integer number (681175950).

Almost surely, 2^46709076960 is an apocalyptic number.

46709076960 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 46709076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98089336800).

46709076960 is an abundant number, since it is smaller than the sum of its proper divisors (149469596640).

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

46709076960 is a wasteful number, since it uses less digits than its factorization.

46709076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356490 (or 356479 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 46709076960 in words is "forty-six billion, seven hundred nine million, seventy-six thousand, nine hundred sixty".