4966917006480 has 240 divisors, whose sum is σ = 18226344897600. Its totient is φ = 1111477847040.

The previous prime is 4966917006451. The next prime is 4966917006487. The reversal of 4966917006480 is 846007196694.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (4966917006487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6200830 + ... + 6955869.

It is an arithmetic number, because the mean of its divisors is an integer number (75943103740).

Almost surely, 2^{4966917006480} is an apocalyptic number.

4966917006480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4966917006480 is an abundant number, since it is smaller than the sum of its proper divisors (13259427891120).

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

4966917006480 is a wasteful number, since it uses less digits than its factorization.

4966917006480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13156750 (or 13156733 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 4966917006480 in words is "four trillion, nine hundred sixty-six billion, nine hundred seventeen million, six thousand, four hundred eighty".