75396798981504 has 4608 divisors, whose sum is σ = 326383634304000. Its totient is φ = 17096908308480.

The previous prime is 75396798981499. The next prime is 75396798981509. The reversal of 75396798981504 is 40518989769357.

75396798981504 is a `hidden beast` number, since 7 + 5 + 39 + 6 + 79 + 8 + 9 + 8 + 1 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (75396798981499) and next prime (75396798981509).

It is a super-2 number, since 2×75396798981504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75396798981509) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 847155044692 + ... + 847155044780.

It is an arithmetic number, because the mean of its divisors is an integer number (70829781750).

Almost surely, 2^{75396798981504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75396798981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163191817152000).

75396798981504 is an abundant number, since it is smaller than the sum of its proper divisors (250986835322496).

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

75396798981504 is a wasteful number, since it uses less digits than its factorization.

75396798981504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 81.

The spelling of 75396798981504 in words is "seventy-five trillion, three hundred ninety-six billion, seven hundred ninety-eight million, nine hundred eighty-one thousand, five hundred four".