75520492920642 has 128 divisors (see below), whose sum is σ = 195248077516800. Its totient is φ = 18896165164800.

The previous prime is 75520492920641. The next prime is 75520492920667. The reversal of 75520492920642 is 24602929402557.

It is a super-3 number, since 3×75520492920642³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (75520492920641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 538209 + ... + 12301652.

It is an arithmetic number, because the mean of its divisors is an integer number (1525375605600).

Almost surely, 2^{75520492920642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75520492920642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97624038758400).

75520492920642 is an abundant number, since it is smaller than the sum of its proper divisors (119727584596158).

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

75520492920642 is a wasteful number, since it uses less digits than its factorization.

75520492920642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12840352.

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 75520492920642 in words is "seventy-five trillion, five hundred twenty billion, four hundred ninety-two million, nine hundred twenty thousand, six hundred forty-two".