75849326961408 has 4320 divisors, whose sum is σ = 327404108021760. Its totient is φ = 17140105543680.

The previous prime is 75849326961389. The next prime is 75849326961427. The reversal of 75849326961408 is 80416962394857.

75849326961408 is a `hidden beast` number, since 7 + 5 + 8 + 493 + 2 + 6 + 96 + 1 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (75849326961389) and next prime (75849326961427).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 198040017985 + ... + 198040018367.

It is an arithmetic number, because the mean of its divisors is an integer number (75787987968).

It is a 1-persistent number, because it is pandigital, but 2⋅75849326961408 = 151698653922816 is not.

Almost surely, 2^{75849326961408} is an apocalyptic number.

75849326961408 is a gapful number since it is divisible by the number (78) 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 75849326961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163702054010880).

75849326961408 is an abundant number, since it is smaller than the sum of its proper divisors (251554781060352).

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

75849326961408 is a wasteful number, since it uses less digits than its factorization.

75849326961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 75849326961408 in words is "seventy-five trillion, eight hundred forty-nine billion, three hundred twenty-six million, nine hundred sixty-one thousand, four hundred eight".