60342542400 has 672 divisors, whose sum is σ = 238527019008. Its totient is φ = 13057228800.

The previous prime is 60342542399. The next prime is 60342542401. The reversal of 60342542400 is 424524306.

It is an interprime number because it is at equal distance from previous prime (60342542399) and next prime (60342542401).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (60342542401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87326055 + ... + 87326745.

Almost surely, 2^60342542400 is an apocalyptic number.

60342542400 is a gapful number since it is divisible by the number (60) 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 60342542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119263509504).

60342542400 is an abundant number, since it is smaller than the sum of its proper divisors (178184476608).

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

60342542400 is a wasteful number, since it uses less digits than its factorization.

60342542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 60342542400 in words is "sixty billion, three hundred forty-two million, five hundred forty-two thousand, four hundred".