61653436416 has 960 divisors, whose sum is σ = 227753285760. Its totient is φ = 16349921280.

The previous prime is 61653436409. The next prime is 61653436457. The reversal of 61653436416 is 61463435616.

It is a super-2 number, since 2×61653436416² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 545605576 + ... + 545605688.

It is an arithmetic number, because the mean of its divisors is an integer number (237243006).

Almost surely, 2^61653436416 is an apocalyptic number.

61653436416 is a gapful number since it is divisible by the number (66) 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 61653436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113876642880).

61653436416 is an abundant number, since it is smaller than the sum of its proper divisors (166099849344).

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

61653436416 is a wasteful number, since it uses less digits than its factorization.

61653436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 61653436416 in words is "sixty-one billion, six hundred fifty-three million, four hundred thirty-six thousand, four hundred sixteen".