4979458713600 has 3456 divisors, whose sum is σ = 23131613232000. Its totient is φ = 1043422248960.

The previous prime is 4979458713589. The next prime is 4979458713611. The reversal of 4979458713600 is 63178549794.

4979458713600 is a `hidden beast` number, since 4 + 9 + 7 + 9 + 4 + 5 + 8 + 7 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4979458713589) and next prime (4979458713611).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68211763164 + ... + 68211763236.

It is an arithmetic number, because the mean of its divisors is an integer number (6693175125).

Almost surely, 2^{4979458713600} is an apocalyptic number.

4979458713600 is a gapful number since it is divisible by the number (40) 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 4979458713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565806616000).

4979458713600 is an abundant number, since it is smaller than the sum of its proper divisors (18152154518400).

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

4979458713600 is a wasteful number, since it uses less digits than its factorization.

4979458713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4979458713600 in words is "four trillion, nine hundred seventy-nine billion, four hundred fifty-eight million, seven hundred thirteen thousand, six hundred".