62401613472 has 144 divisors (see below), whose sum is σ = 194174940960. Its totient is φ = 18852134400.

The previous prime is 62401613437. The next prime is 62401613497. The reversal of 62401613472 is 27431610426.

62401613472 is a `hidden beast` number, since 6 + 24 + 0 + 161 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×62401613472² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1018854 + ... + 1078362.

It is an arithmetic number, because the mean of its divisors is an integer number (1348437090).

Almost surely, 2^62401613472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62401613472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97087470480).

62401613472 is an abundant number, since it is smaller than the sum of its proper divisors (131773327488).

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

62401613472 is a wasteful number, since it uses less digits than its factorization.

62401613472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59867 (or 59856 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 62401613472 in words is "sixty-two billion, four hundred one million, six hundred thirteen thousand, four hundred seventy-two".