60745442400 has 576 divisors, whose sum is σ = 229725296640. Its totient is φ = 15473203200.

The previous prime is 60745442357. The next prime is 60745442467. The reversal of 60745442400 is 424454706.

60745442400 is a `hidden beast` number, since 6 + 0 + 74 + 544 + 2 + 40 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 55576254 + ... + 55577346.

It is an arithmetic number, because the mean of its divisors is an integer number (398828640).

Almost surely, 2^60745442400 is an apocalyptic number.

60745442400 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 60745442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114862648320).

60745442400 is an abundant number, since it is smaller than the sum of its proper divisors (168979854240).

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

60745442400 is a wasteful number, since it uses less digits than its factorization.

60745442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 60745442400 in words is "sixty billion, seven hundred forty-five million, four hundred forty-two thousand, four hundred".