75366078480 has 960 divisors, whose sum is σ = 333638645760. Its totient is φ = 15191193600.

The previous prime is 75366078449. The next prime is 75366078527. The reversal of 75366078480 is 8487066357.

75366078480 is a `hidden beast` number, since 7 + 5 + 36 + 60 + 78 + 480 = 666.

It is a super-2 number, since 2×75366078480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227691915 + ... + 227692245.

It is an arithmetic number, because the mean of its divisors is an integer number (347540256).

Almost surely, 2^75366078480 is an apocalyptic number.

75366078480 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 75366078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166819322880).

75366078480 is an abundant number, since it is smaller than the sum of its proper divisors (258272567280).

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

75366078480 is a wasteful number, since it uses less digits than its factorization.

75366078480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 75366078480 in words is "seventy-five billion, three hundred sixty-six million, seventy-eight thousand, four hundred eighty".