4766036552640 has 1680 divisors, whose sum is σ = 19455968886816. Its totient is φ = 1105590435840.

The previous prime is 4766036552621. The next prime is 4766036552659. The reversal of 4766036552640 is 462556306674.

4766036552640 is a `hidden beast` number, since 4 + 7 + 6 + 603 + 6 + 5 + 5 + 26 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4766036552621) and next prime (4766036552659).

It is a super-2 number, since 2×4766036552640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7774936974 + ... + 7774937586.

Almost surely, 2^{4766036552640} is an apocalyptic number.

4766036552640 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 4766036552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9727984443408).

4766036552640 is an abundant number, since it is smaller than the sum of its proper divisors (14689932334176).

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

4766036552640 is a wasteful number, since it uses less digits than its factorization.

4766036552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 4766036552640 in words is "four trillion, seven hundred sixty-six billion, thirty-six million, five hundred fifty-two thousand, six hundred forty".