746792976270240 has 96 divisors (see below), whose sum is σ = 2613775416960960. Its totient is φ = 199144793670912.

The previous prime is 746792976270223. The next prime is 746792976270241. The reversal of 746792976270240 is 42072679297647.

746792976270240 is a `hidden beast` number, since 7 + 4 + 6 + 79 + 297 + 6 + 27 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (746792976270241) 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 15 ways as a sum of consecutive naturals, for example, 86434367934 + ... + 86434376573.

It is an arithmetic number, because the mean of its divisors is an integer number (27226827260010).

Almost surely, 2^{746792976270240} is an apocalyptic number.

It is an amenable number.

746792976270240 is an abundant number, since it is smaller than the sum of its proper divisors (1866982440690720).

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

746792976270240 is a wasteful number, since it uses less digits than its factorization.

746792976270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172868744531 (or 172868744517 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 72.

The spelling of 746792976270240 in words is "seven hundred forty-six trillion, seven hundred ninety-two billion, nine hundred seventy-six million, two hundred seventy thousand, two hundred forty".