75408157440 has 1152 divisors, whose sum is σ = 341900697600. Its totient is φ = 15281602560.

The previous prime is 75408157403. The next prime is 75408157441. The reversal of 75408157440 is 4475180457.

75408157440 is a `hidden beast` number, since 7 + 54 + 0 + 8 + 157 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (75408157441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114427831 + ... + 114428489.

It is an arithmetic number, because the mean of its divisors is an integer number (296788800).

Almost surely, 2^75408157440 is an apocalyptic number.

75408157440 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 75408157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170950348800).

75408157440 is an abundant number, since it is smaller than the sum of its proper divisors (266492540160).

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

75408157440 is a wasteful number, since it uses less digits than its factorization.

75408157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 75408157440 in words is "seventy-five billion, four hundred eight million, one hundred fifty-seven thousand, four hundred forty".