4740268032000 has 1728 divisors, whose sum is σ = 18985427854848. Its totient is φ = 1132462080000.

The previous prime is 4740268031957. The next prime is 4740268032067. The reversal of 4740268032000 is 2308620474.

4740268032000 is a `hidden beast` number, since 4 + 74 + 0 + 268 + 0 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 77709311970 + ... + 77709312030.

It is an arithmetic number, because the mean of its divisors is an integer number (10986937416).

Almost surely, 2^{4740268032000} is an apocalyptic number.

4740268032000 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 4740268032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492713927424).

4740268032000 is an abundant number, since it is smaller than the sum of its proper divisors (14245159822848).

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

4740268032000 is an equidigital number, since it uses as much as digits as its factorization.

4740268032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 4740268032000 in words is "four trillion, seven hundred forty billion, two hundred sixty-eight million, thirty-two thousand".