74795506240 has 672 divisors, whose sum is σ = 232395125760. Its totient is φ = 22428057600.

The previous prime is 74795506231. The next prime is 74795506241. The reversal of 74795506240 is 4260559747.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (74795506241) 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, 946778521 + ... + 946778599.

It is an arithmetic number, because the mean of its divisors is an integer number (345826080).

Almost surely, 2^74795506240 is an apocalyptic number.

74795506240 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 74795506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116197562880).

74795506240 is an abundant number, since it is smaller than the sum of its proper divisors (157599619520).

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

74795506240 is a wasteful number, since it uses less digits than its factorization.

74795506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

The spelling of 74795506240 in words is "seventy-four billion, seven hundred ninety-five million, five hundred six thousand, two hundred forty".