4896937247400 has 1920 divisors, whose sum is σ = 20282104719360. Its totient is φ = 1081672704000.

The previous prime is 4896937247351. The next prime is 4896937247431. The reversal of 4896937247400 is 47427396984.

4896937247400 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 93 + 72 + 474 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 23208233295 + ... + 23208233505.

It is an arithmetic number, because the mean of its divisors is an integer number (10563596208).

Almost surely, 2^{4896937247400} is an apocalyptic number.

4896937247400 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 4896937247400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141052359680).

4896937247400 is an abundant number, since it is smaller than the sum of its proper divisors (15385167471960).

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

4896937247400 is a wasteful number, since it uses less digits than its factorization.

4896937247400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 4896937247400 in words is "four trillion, eight hundred ninety-six billion, nine hundred thirty-seven million, two hundred forty-seven thousand, four hundred".