746767985040 has 2880 divisors, whose sum is σ = 3615848570880. Its totient is φ = 142263475200.

The previous prime is 746767985011. The next prime is 746767985053. The reversal of 746767985040 is 40589767647.

746767985040 is a `hidden beast` number, since 7 + 4 + 67 + 67 + 9 + 8 + 504 + 0 = 666.

It is a super-3 number, since 3×746767985040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 24089289825 + ... + 24089289855.

It is an arithmetic number, because the mean of its divisors is an integer number (1255502976).

Almost surely, 2^746767985040 is an apocalyptic number.

746767985040 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 746767985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807924285440).

746767985040 is an abundant number, since it is smaller than the sum of its proper divisors (2869080585840).

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

746767985040 is a wasteful number, since it uses less digits than its factorization.

746767985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 746767985040 in words is "seven hundred forty-six billion, seven hundred sixty-seven million, nine hundred eighty-five thousand, forty".