746154040320 has 528 divisors, whose sum is σ = 2930867415840. Its totient is φ = 173999259648.

The previous prime is 746154040309. The next prime is 746154040361. The reversal of 746154040320 is 23040451647.

746154040320 is a `hidden beast` number, since 7 + 4 + 615 + 4 + 0 + 4 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11348982 + ... + 11414538.

Almost surely, 2^746154040320 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 746154040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465433707920).

746154040320 is an abundant number, since it is smaller than the sum of its proper divisors (2184713375520).

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

746154040320 is a wasteful number, since it uses less digits than its factorization.

746154040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65620 (or 65599 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 746154040320 its reverse (23040451647), we get a palindrome (769194491967).

The spelling of 746154040320 in words is "seven hundred forty-six billion, one hundred fifty-four million, forty thousand, three hundred twenty".