746461257900 has 288 divisors, whose sum is σ = 2287053619200. Its totient is φ = 187601863680.

The previous prime is 746461257851. The next prime is 746461257911. The reversal of 746461257900 is 9752164647.

It is a happy number.

746461257900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130565842 + ... + 130571558.

It is an arithmetic number, because the mean of its divisors is an integer number (7941158400).

Almost surely, 2^746461257900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746461257900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143526809600).

746461257900 is an abundant number, since it is smaller than the sum of its proper divisors (1540592361300).

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

746461257900 is a wasteful number, since it uses less digits than its factorization.

746461257900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6033 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 746461257900 in words is "seven hundred forty-six billion, four hundred sixty-one million, two hundred fifty-seven thousand, nine hundred".