4742737920000 has 960 divisors, whose sum is σ = 17773546550760. Its totient is φ = 1263403008000.

The previous prime is 4742737919923. The next prime is 4742737920001. The reversal of 4742737920000 is 297372474.

4742737920000 is a `hidden beast` number, since 4 + 74 + 2 + 7 + 379 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742737920001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4976639524 + ... + 4976640476.

Almost surely, 2^{4742737920000} is an apocalyptic number.

4742737920000 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 4742737920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886773275380).

4742737920000 is an abundant number, since it is smaller than the sum of its proper divisors (13030808630760).

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

4742737920000 is an frugal number, since it uses more digits than its factorization.

4742737920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 4742737920000 in words is "four trillion, seven hundred forty-two billion, seven hundred thirty-seven million, nine hundred twenty thousand".