746351677440 has 312 divisors, whose sum is σ = 2682870703968. Its totient is φ = 199025786880.

The previous prime is 746351677439. The next prime is 746351677549. The reversal of 746351677440 is 44776153647.

It is a happy number.

746351677440 is a `hidden beast` number, since 7 + 4 + 6 + 35 + 167 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4901655 + ... + 5051625.

It is an arithmetic number, because the mean of its divisors is an integer number (8598944564).

Almost surely, 2^746351677440 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 746351677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341435351984).

746351677440 is an abundant number, since it is smaller than the sum of its proper divisors (1936519026528).

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

746351677440 is an equidigital number, since it uses as much as digits as its factorization.

746351677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150015 (or 149981 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 746351677440 in words is "seven hundred forty-six billion, three hundred fifty-one million, six hundred seventy-seven thousand, four hundred forty".