75420858240 has 512 divisors, whose sum is σ = 328764441600. Its totient is φ = 15912640512.

The previous prime is 75420858223. The next prime is 75420858263. The reversal of 75420858240 is 4285802457.

75420858240 is a `hidden beast` number, since 7 + 5 + 4 + 20 + 8 + 582 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1548499 + ... + 1596461.

It is an arithmetic number, because the mean of its divisors is an integer number (642118050).

Almost surely, 2^75420858240 is an apocalyptic number.

75420858240 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 75420858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164382220800).

75420858240 is an abundant number, since it is smaller than the sum of its proper divisors (253343583360).

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

75420858240 is a wasteful number, since it uses less digits than its factorization.

75420858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48011 (or 47993 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 75420858240 in words is "seventy-five billion, four hundred twenty million, eight hundred fifty-eight thousand, two hundred forty".