4547720263680 has 768 divisors, whose sum is σ = 17884569830400. Its totient is φ = 1086898176000.

The previous prime is 4547720263633. The next prime is 4547720263693. The reversal of 4547720263680 is 863620277454.

4547720263680 is a `hidden beast` number, since 4 + 5 + 4 + 77 + 202 + 6 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 215920350 + ... + 215941410.

It is an arithmetic number, because the mean of its divisors is an integer number (23287200300).

Almost surely, 2^{4547720263680} is an apocalyptic number.

4547720263680 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 4547720263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942284915200).

4547720263680 is an abundant number, since it is smaller than the sum of its proper divisors (13336849566720).

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

4547720263680 is a wasteful number, since it uses less digits than its factorization.

4547720263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21179 (or 21153 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4547720263680 in words is "four trillion, five hundred forty-seven billion, seven hundred twenty million, two hundred sixty-three thousand, six hundred eighty".