4954656699360 has 384 divisors, whose sum is σ = 18371818967040. Its totient is φ = 1242814390272.

The previous prime is 4954656699347. The next prime is 4954656699361. The reversal of 4954656699360 is 639966564594.

It is a happy number.

4954656699360 is a `hidden beast` number, since 4 + 9 + 54 + 6 + 566 + 9 + 9 + 3 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4954656699361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135625417 + ... + 135661943.

It is an arithmetic number, because the mean of its divisors is an integer number (47843278560).

Almost surely, 2^{4954656699360} is an apocalyptic number.

4954656699360 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 4954656699360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185909483520).

4954656699360 is an abundant number, since it is smaller than the sum of its proper divisors (13417162267680).

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

4954656699360 is a wasteful number, since it uses less digits than its factorization.

4954656699360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38415 (or 38401 counting only the distinct ones).

The product of its (nonzero) digits is 1133740800, while the sum is 72.

The spelling of 4954656699360 in words is "four trillion, nine hundred fifty-four billion, six hundred fifty-six million, six hundred ninety-nine thousand, three hundred sixty".