4713958376640 has 672 divisors, whose sum is σ = 17097780091392. Its totient is φ = 1190412288000.

The previous prime is 4713958376557. The next prime is 4713958376651. The reversal of 4713958376640 is 466738593174.

It is a happy number.

4713958376640 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 9 + 583 + 7 + 6 + 6 + 40 = 666.

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, 2181377160 + ... + 2181379320.

It is an arithmetic number, because the mean of its divisors is an integer number (25443125136).

Almost surely, 2^{4713958376640} is an apocalyptic number.

4713958376640 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 4713958376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8548890045696).

4713958376640 is an abundant number, since it is smaller than the sum of its proper divisors (12383821714752).

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

4713958376640 is a wasteful number, since it uses less digits than its factorization.

4713958376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 4713958376640 in words is "four trillion, seven hundred thirteen billion, nine hundred fifty-eight million, three hundred seventy-six thousand, six hundred forty".