75418506240 has 1408 divisors, whose sum is σ = 331422990336. Its totient is φ = 14273740800.

The previous prime is 75418506169. The next prime is 75418506281. The reversal of 75418506240 is 4260581457.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 75418506192 and 75418506201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2432855025 + ... + 2432855055.

Almost surely, 2^75418506240 is an apocalyptic number.

75418506240 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 75418506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165711495168).

75418506240 is an abundant number, since it is smaller than the sum of its proper divisors (256004484096).

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

75418506240 is a wasteful number, since it uses less digits than its factorization.

75418506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 75418506240 in words is "seventy-five billion, four hundred eighteen million, five hundred six thousand, two hundred forty".