746346447000 has 512 divisors, whose sum is σ = 3225776486400. Its totient is φ = 155084544000.

The previous prime is 746346446987. The next prime is 746346447001. The reversal of 746346447000 is 744643647.

746346447000 is a `hidden beast` number, since 7 + 4 + 634 + 6 + 4 + 4 + 7 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746346447001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1899504 + ... + 2258496.

It is an arithmetic number, because the mean of its divisors is an integer number (6300344700).

Almost surely, 2^746346447000 is an apocalyptic number.

746346447000 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 746346447000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612888243200).

746346447000 is an abundant number, since it is smaller than the sum of its proper divisors (2479430039400).

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

746346447000 is a wasteful number, since it uses less digits than its factorization.

746346447000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359041 (or 359021 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 746346447000 in words is "seven hundred forty-six billion, three hundred forty-six million, four hundred forty-seven thousand".