746487657216 has 864 divisors, whose sum is σ = 2719017100800. Its totient is φ = 200867143680.

The previous prime is 746487657199. The next prime is 746487657283. The reversal of 746487657216 is 612756784647.

746487657216 is a `hidden beast` number, since 7 + 4 + 6 + 48 + 7 + 6 + 572 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 95 ways as a sum of consecutive naturals, for example, 2001307206 + ... + 2001307578.

Almost surely, 2^746487657216 is an apocalyptic number.

746487657216 is a gapful number since it is divisible by the number (76) 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 746487657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359508550400).

746487657216 is an abundant number, since it is smaller than the sum of its proper divisors (1972529443584).

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

746487657216 is a wasteful number, since it uses less digits than its factorization.

746487657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 715 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 746487657216 in words is "seven hundred forty-six billion, four hundred eighty-seven million, six hundred fifty-seven thousand, two hundred sixteen".