4740707624400 has 1440 divisors, whose sum is σ = 20351348858880. Its totient is φ = 1007728128000.

The previous prime is 4740707624371. The next prime is 4740707624459. The reversal of 4740707624400 is 44267070474.

4740707624400 is a `hidden beast` number, since 4 + 74 + 0 + 70 + 76 + 2 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 536456782 + ... + 536465618.

It is an arithmetic number, because the mean of its divisors is an integer number (14132881152).

Almost surely, 2^{4740707624400} is an apocalyptic number.

4740707624400 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 4740707624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175674429440).

4740707624400 is an abundant number, since it is smaller than the sum of its proper divisors (15610641234480).

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

4740707624400 is a wasteful number, since it uses less digits than its factorization.

4740707624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8931 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 4740707624400 in words is "four trillion, seven hundred forty billion, seven hundred seven million, six hundred twenty-four thousand, four hundred".