746655960960 has 3072 divisors, whose sum is σ = 3636231782400. Its totient is φ = 140779192320.

The previous prime is 746655960871. The next prime is 746655960979. The reversal of 746655960960 is 69069556647.

746655960960 is a `hidden beast` number, since 7 + 466 + 5 + 59 + 60 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 14087848294 + ... + 14087848346.

It is an arithmetic number, because the mean of its divisors is an integer number (1183669200).

Almost surely, 2^746655960960 is an apocalyptic number.

746655960960 is a gapful number since it is divisible by the number (70) 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 746655960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818115891200).

746655960960 is an abundant number, since it is smaller than the sum of its proper divisors (2889575821440).

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

746655960960 is a wasteful number, since it uses less digits than its factorization.

746655960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 746655960960 in words is "seven hundred forty-six billion, six hundred fifty-five million, nine hundred sixty thousand, nine hundred sixty".