60461565003840 has 1792 divisors, whose sum is σ = 267346893864960. Its totient is φ = 11168575488000.

The previous prime is 60461565003799. The next prime is 60461565003907. The reversal of 60461565003840 is 4830056516406.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 60461565003840.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6285634551 + ... + 6285644169.

It is an arithmetic number, because the mean of its divisors is an integer number (149189114880).

Almost surely, 2^{60461565003840} is an apocalyptic number.

60461565003840 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 60461565003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133673446932480).

60461565003840 is an abundant number, since it is smaller than the sum of its proper divisors (206885328861120).

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

60461565003840 is a wasteful number, since it uses less digits than its factorization.

60461565003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9912 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 60461565003840 in words is "sixty trillion, four hundred sixty-one billion, five hundred sixty-five million, three thousand, eight hundred forty".