75698400742272 has 1920 divisors, whose sum is σ = 300349983098880. Its totient is φ = 18366488985600.

The previous prime is 75698400742249. The next prime is 75698400742319. The reversal of 75698400742272 is 27224700489657.

It is a happy number.

75698400742272 is a `hidden beast` number, since 7 + 5 + 6 + 98 + 400 + 74 + 2 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20813416038 + ... + 20813419674.

It is an arithmetic number, because the mean of its divisors is an integer number (156432282864).

Almost surely, 2^{75698400742272} is an apocalyptic number.

75698400742272 is a gapful number since it is divisible by the number (72) 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 75698400742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150174991549440).

75698400742272 is an abundant number, since it is smaller than the sum of its proper divisors (224651582356608).

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

75698400742272 is a wasteful number, since it uses less digits than its factorization.

75698400742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 75698400742272 in words is "seventy-five trillion, six hundred ninety-eight billion, four hundred million, seven hundred forty-two thousand, two hundred seventy-two".