60903973677456 has 960 divisors, whose sum is σ = 220191346851840. Its totient is φ = 15284505600000.

The previous prime is 60903973677427. The next prime is 60903973677497. The reversal of 60903973677456 is 65477637930906.

60903973677456 is a `hidden beast` number, since 6 + 0 + 9 + 0 + 39 + 73 + 6 + 77 + 456 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 8055011916 + ... + 8055019476.

It is an arithmetic number, because the mean of its divisors is an integer number (229365986304).

Almost surely, 2^{60903973677456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60903973677456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110095673425920).

60903973677456 is an abundant number, since it is smaller than the sum of its proper divisors (159287373174384).

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

60903973677456 is a wasteful number, since it uses less digits than its factorization.

60903973677456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 1080203040, while the sum is 72.

The spelling of 60903973677456 in words is "sixty trillion, nine hundred three billion, nine hundred seventy-three million, six hundred seventy-seven thousand, four hundred fifty-six".