75880621440 has 288 divisors, whose sum is σ = 283735146240. Its totient is φ = 18678067200.

The previous prime is 75880621433. The next prime is 75880621447. The reversal of 75880621440 is 4412608857.

75880621440 is a `hidden beast` number, since 7 + 588 + 0 + 6 + 21 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (75880621433) and next prime (75880621447).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75880621447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 934465 + ... + 1012415.

It is an arithmetic number, because the mean of its divisors is an integer number (985191480).

Almost surely, 2^75880621440 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 75880621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141867573120).

75880621440 is an abundant number, since it is smaller than the sum of its proper divisors (207854524800).

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

75880621440 is a wasteful number, since it uses less digits than its factorization.

75880621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78002 (or 77974 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 75880621440 in words is "seventy-five billion, eight hundred eighty million, six hundred twenty-one thousand, four hundred forty".