746986968 has 384 divisors, whose sum is σ = 2671704000. Its totient is φ = 191600640.

The previous prime is 746986967. The next prime is 746986993. The reversal of 746986968 is 869689647.

746986968 is a `hidden beast` number, since 7 + 469 + 86 + 96 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31352832) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746986963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8393068 + ... + 8393156.

Almost surely, 2^746986968 is an apocalyptic number.

746986968 is a gapful number since it is divisible by the number (78) 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 746986968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335852000).

746986968 is an abundant number, since it is smaller than the sum of its proper divisors (1924717032).

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

746986968 is a wasteful number, since it uses less digits than its factorization.

746986968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 746986968 is about 27331.0623284204. The cubic root of 746986968 is about 907.3419873784.

The spelling of 746986968 in words is "seven hundred forty-six million, nine hundred eighty-six thousand, nine hundred sixty-eight".