74728967040 has 1920 divisors, whose sum is σ = 349833496320. Its totient is φ = 15049359360.

The previous prime is 74728967023. The next prime is 74728967041. The reversal of 74728967040 is 4076982747.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74728967041) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1023684444 + ... + 1023684516.

It is an arithmetic number, because the mean of its divisors is an integer number (182204946).

Almost surely, 2^74728967040 is an apocalyptic number.

74728967040 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 74728967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174916748160).

74728967040 is an abundant number, since it is smaller than the sum of its proper divisors (275104529280).

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

74728967040 is a wasteful number, since it uses less digits than its factorization.

74728967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 74728967040 in words is "seventy-four billion, seven hundred twenty-eight million, nine hundred sixty-seven thousand, forty".