4747177478400 has 864 divisors, whose sum is σ = 18962920962048. Its totient is φ = 1022356684800.

The previous prime is 4747177478387. The next prime is 4747177478431. The reversal of 4747177478400 is 48747717474.

It is a super-2 number, since 2×4747177478400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207098940 + ... + 207121860.

Almost surely, 2^{4747177478400} is an apocalyptic number.

4747177478400 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 4747177478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9481460481024).

4747177478400 is an abundant number, since it is smaller than the sum of its proper divisors (14215743483648).

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

4747177478400 is a wasteful number, since it uses less digits than its factorization.

4747177478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23047 (or 23028 counting only the distinct ones).

The product of its (nonzero) digits is 34420736, while the sum is 60.

The spelling of 4747177478400 in words is "four trillion, seven hundred forty-seven billion, one hundred seventy-seven million, four hundred seventy-eight thousand, four hundred".