4726739888640 has 3360 divisors, whose sum is σ = 22320129705984. Its totient is φ = 948109639680.

The previous prime is 4726739888617. The next prime is 4726739888687. The reversal of 4726739888640 is 468889376274.

4726739888640 is a `hidden beast` number, since 47 + 2 + 67 + 398 + 88 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 37218424257 + ... + 37218424383.

Almost surely, 2^{4726739888640} is an apocalyptic number.

4726739888640 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 4726739888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160064852992).

4726739888640 is an abundant number, since it is smaller than the sum of its proper divisors (17593389817344).

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

4726739888640 is a wasteful number, since it uses less digits than its factorization.

4726739888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 4726739888640 in words is "four trillion, seven hundred twenty-six billion, seven hundred thirty-nine million, eight hundred eighty-eight thousand, six hundred forty".