75849154920 has 1344 divisors, whose sum is σ = 334092850560. Its totient is φ = 15150136320.

The previous prime is 75849154907. The next prime is 75849154937. The reversal of 75849154920 is 2945194857.

It is a happy number.

75849154920 is a `hidden beast` number, since 7 + 5 + 8 + 4 + 91 + 549 + 2 + 0 = 666.

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 335 ways as a sum of consecutive naturals, for example, 913845199 + ... + 913845281.

It is an arithmetic number, because the mean of its divisors is an integer number (248580990).

Almost surely, 2^75849154920 is an apocalyptic number.

75849154920 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 75849154920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167046425280).

75849154920 is an abundant number, since it is smaller than the sum of its proper divisors (258243695640).

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

75849154920 is a wasteful number, since it uses less digits than its factorization.

75849154920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 75849154920 in words is "seventy-five billion, eight hundred forty-nine million, one hundred fifty-four thousand, nine hundred twenty".