61629896857600 has 144 divisors (see below), whose sum is σ = 152876872675800. Its totient is φ = 24640336035840.

The previous prime is 61629896857583. The next prime is 61629896857657. The reversal of 61629896857600 is 675869892616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108722107 + ... + 109287493.

Almost surely, 2^{61629896857600} 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 61629896857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76438436337900).

61629896857600 is an abundant number, since it is smaller than the sum of its proper divisors (91246975818200).

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

61629896857600 is a wasteful number, since it uses less digits than its factorization.

61629896857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567548 (or 567523 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 73.

The spelling of 61629896857600 in words is "sixty-one trillion, six hundred twenty-nine billion, eight hundred ninety-six million, eight hundred fifty-seven thousand, six hundred".