4740725736000 has 672 divisors, whose sum is σ = 17162946672768. Its totient is φ = 1249010380800.

The previous prime is 4740725735927. The next prime is 4740725736029. The reversal of 4740725736000 is 6375270474.

4740725736000 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 72 + 573 + 6 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 4337351454 + ... + 4337352546.

Almost surely, 2^{4740725736000} is an apocalyptic number.

4740725736000 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 4740725736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581473336384).

4740725736000 is an abundant number, since it is smaller than the sum of its proper divisors (12422220936768).

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

4740725736000 is a wasteful number, since it uses less digits than its factorization.

4740725736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 4740725736000 in words is "four trillion, seven hundred forty billion, seven hundred twenty-five million, seven hundred thirty-six thousand".