746510160960 has 448 divisors, whose sum is σ = 2762117107200. Its totient is φ = 189437681664.

The previous prime is 746510160959. The next prime is 746510160961. The reversal of 746510160960 is 69061015647.

746510160960 is a `hidden beast` number, since 7 + 46 + 510 + 1 + 6 + 0 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (746510160959) and next prime (746510160961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (746510160961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39138306 + ... + 39157374.

Almost surely, 2^746510160960 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 746510160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381058553600).

746510160960 is an abundant number, since it is smaller than the sum of its proper divisors (2015606946240).

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

746510160960 is a wasteful number, since it uses less digits than its factorization.

746510160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19315 (or 19299 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 746510160960 in words is "seven hundred forty-six billion, five hundred ten million, one hundred sixty thousand, nine hundred sixty".