75240098640 has 960 divisors, whose sum is σ = 314991505920. Its totient is φ = 16164126720.

The previous prime is 75240098639. The next prime is 75240098641. The reversal of 75240098640 is 4689004257.

It is a happy number.

75240098640 is a `hidden beast` number, since 7 + 524 + 0 + 0 + 9 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (75240098639) and next prime (75240098641).

It is a super-2 number, since 2×75240098640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75240098641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 775671072 + ... + 775671168.

It is an arithmetic number, because the mean of its divisors is an integer number (328116152).

Almost surely, 2^75240098640 is an apocalyptic number.

75240098640 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 75240098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157495752960).

75240098640 is an abundant number, since it is smaller than the sum of its proper divisors (239751407280).

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

75240098640 is a wasteful number, since it uses less digits than its factorization.

75240098640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 75240098640 in words is "seventy-five billion, two hundred forty million, ninety-eight thousand, six hundred forty".