62420706754560 has 3072 divisors, whose sum is σ = 290219329520640. Its totient is φ = 12013157744640.

The previous prime is 62420706754517. The next prime is 62420706754573. The reversal of 62420706754560 is 6545760702426.

62420706754560 is a `hidden beast` number, since 6 + 2 + 4 + 2 + 0 + 7 + 0 + 6 + 75 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a junction number, because it is equal to n+sod(n) for n = 62420706754497 and 62420706754506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 140904529699 + ... + 140904530141.

It is an arithmetic number, because the mean of its divisors is an integer number (94472437995).

Almost surely, 2^{62420706754560} is an apocalyptic number.

62420706754560 is a gapful number since it is divisible by the number (60) 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 62420706754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145109664760320).

62420706754560 is an abundant number, since it is smaller than the sum of its proper divisors (227798622766080).

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

62420706754560 is a wasteful number, since it uses less digits than its factorization.

62420706754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 62420706754560 in words is "sixty-two trillion, four hundred twenty billion, seven hundred six million, seven hundred fifty-four thousand, five hundred sixty".