4738646897600 has 1344 divisors, whose sum is σ = 15392938788864. Its totient is φ = 1393459200000.

The previous prime is 4738646897591. The next prime is 4738646897653. The reversal of 4738646897600 is 67986468374.

It is a congruent number.

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, 26180369510 + ... + 26180369690.

It is an arithmetic number, because the mean of its divisors is an integer number (11453079456).

Almost surely, 2^{4738646897600} is an apocalyptic number.

4738646897600 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 4738646897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7696469394432).

4738646897600 is an abundant number, since it is smaller than the sum of its proper divisors (10654291891264).

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

4738646897600 is a wasteful number, since it uses less digits than its factorization.

4738646897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 68.

The spelling of 4738646897600 in words is "four trillion, seven hundred thirty-eight billion, six hundred forty-six million, eight hundred ninety-seven thousand, six hundred".