75061651104 has 1152 divisors, whose sum is σ = 277995110400. Its totient is φ = 19570636800.

The previous prime is 75061651079. The next prime is 75061651111. The reversal of 75061651104 is 40115616057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1416257542 + ... + 1416257594.

It is an arithmetic number, because the mean of its divisors is an integer number (241315200).

Almost surely, 2^75061651104 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 75061651104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138997555200).

75061651104 is an abundant number, since it is smaller than the sum of its proper divisors (202933459296).

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

75061651104 is a wasteful number, since it uses less digits than its factorization.

75061651104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 75061651104 in words is "seventy-five billion, sixty-one million, six hundred fifty-one thousand, one hundred four".