746478134640 has 720 divisors, whose sum is σ = 3054401505792. Its totient is φ = 165970695168.

The previous prime is 746478134561. The next prime is 746478134651. The reversal of 746478134640 is 46431874647.

746478134640 is a `hidden beast` number, since 7 + 464 + 7 + 8 + 134 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×746478134640² (a number of 25 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 186291517 + ... + 186295523.

Almost surely, 2^746478134640 is an apocalyptic number.

746478134640 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 746478134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527200752896).

746478134640 is an abundant number, since it is smaller than the sum of its proper divisors (2307923371152).

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

746478134640 is a wasteful number, since it uses less digits than its factorization.

746478134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 746478134640 in words is "seven hundred forty-six billion, four hundred seventy-eight million, one hundred thirty-four thousand, six hundred forty".