746324315520 has 1024 divisors, whose sum is σ = 2895298560000. Its totient is φ = 163274711040.

The previous prime is 746324315483. The next prime is 746324315531. The reversal of 746324315520 is 25513423647.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2837734909 + ... + 2837735171.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440000).

Almost surely, 2^746324315520 is an apocalyptic number.

746324315520 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 746324315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447649280000).

746324315520 is an abundant number, since it is smaller than the sum of its proper divisors (2148974244480).

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

746324315520 is a wasteful number, since it uses less digits than its factorization.

746324315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 746324315520 in words is "seven hundred forty-six billion, three hundred twenty-four million, three hundred fifteen thousand, five hundred twenty".