746035160640 has 504 divisors, whose sum is σ = 3028666023936. Its totient is φ = 155019110400.

The previous prime is 746035160627. The next prime is 746035160641. The reversal of 746035160640 is 46061530647.

It is a super-2 number, since 2×746035160640² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 746035160592 and 746035160601.

It is not an unprimeable number, because it can be changed into a prime (746035160641) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5626305 + ... + 5757375.

It is an arithmetic number, because the mean of its divisors is an integer number (6009257984).

Almost surely, 2^746035160640 is an apocalyptic number.

746035160640 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 746035160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514333011968).

746035160640 is an abundant number, since it is smaller than the sum of its proper divisors (2282630863296).

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

746035160640 is a wasteful number, since it uses less digits than its factorization.

746035160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131127 (or 131099 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 746035160640 in words is "seven hundred forty-six billion, thirty-five million, one hundred sixty thousand, six hundred forty".