60338615040 has 864 divisors, whose sum is σ = 241143598080. Its totient is φ = 14269685760.

The previous prime is 60338614997. The next prime is 60338615107. The reversal of 60338615040 is 4051683306.

60338615040 is a `hidden beast` number, since 6 + 0 + 3 + 38 + 615 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60338614986 and 60338615004.

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, 196542567 + ... + 196542873.

Almost surely, 2^60338615040 is an apocalyptic number.

60338615040 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 60338615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120571799040).

60338615040 is an abundant number, since it is smaller than the sum of its proper divisors (180804983040).

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

60338615040 is a wasteful number, since it uses less digits than its factorization.

60338615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 60338615040 in words is "sixty billion, three hundred thirty-eight million, six hundred fifteen thousand, forty".