61663056351600 has 480 divisors, whose sum is σ = 216990456150528. Its totient is φ = 14844211200000.

The previous prime is 61663056351593. The next prime is 61663056351629. The reversal of 61663056351600 is 615365036616.

It is a super-3 number, since 3×61663056351600³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61663056351600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9409893924 + ... + 9409900476.

Almost surely, 2^{61663056351600} is an apocalyptic number.

61663056351600 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 61663056351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108495228075264).

61663056351600 is an abundant number, since it is smaller than the sum of its proper divisors (155327399798928).

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

61663056351600 is a wasteful number, since it uses less digits than its factorization.

61663056351600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11457 (or 11446 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 61663056351600 in words is "sixty-one trillion, six hundred sixty-three billion, fifty-six million, three hundred fifty-one thousand, six hundred".