746458056960 has 1728 divisors, whose sum is σ = 3198664691712. Its totient is φ = 143990784000.

The previous prime is 746458056959. The next prime is 746458056979. The reversal of 746458056960 is 69650854647.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 746458056894 and 746458056903.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10513493725 + ... + 10513493795.

It is an arithmetic number, because the mean of its divisors is an integer number (1851079104).

Almost surely, 2^746458056960 is an apocalyptic number.

746458056960 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 746458056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599332345856).

746458056960 is an abundant number, since it is smaller than the sum of its proper divisors (2452206634752).

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

746458056960 is a wasteful number, since it uses less digits than its factorization.

746458056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 746458056960 in words is "seven hundred forty-six billion, four hundred fifty-eight million, fifty-six thousand, nine hundred sixty".