60742720463040 has 1344 divisors, whose sum is σ = 269623817164800. Its totient is φ = 12601373368320.

The previous prime is 60742720463027. The next prime is 60742720463069. The reversal of 60742720463040 is 4036402724706.

60742720463040 is a `hidden beast` number, since 6 + 0 + 7 + 4 + 2 + 7 + 2 + 0 + 4 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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, 4734791346 + ... + 4734804174.

It is an arithmetic number, because the mean of its divisors is an integer number (200612959200).

Almost surely, 2^{60742720463040} is an apocalyptic number.

60742720463040 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 60742720463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134811908582400).

60742720463040 is an abundant number, since it is smaller than the sum of its proper divisors (208881096701760).

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

60742720463040 is a wasteful number, since it uses less digits than its factorization.

60742720463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 60742720463040 in words is "sixty trillion, seven hundred forty-two billion, seven hundred twenty million, four hundred sixty-three thousand, forty".