61437417600 has 384 divisors, whose sum is σ = 223259460480. Its totient is φ = 14752972800.

The previous prime is 61437417571. The next prime is 61437417619. The reversal of 61437417600 is 671473416.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5110797 + ... + 5122803.

It is an arithmetic number, because the mean of its divisors is an integer number (581404845).

Almost surely, 2^61437417600 is an apocalyptic number.

61437417600 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 61437417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111629730240).

61437417600 is an abundant number, since it is smaller than the sum of its proper divisors (161822042880).

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

61437417600 is a wasteful number, since it uses less digits than its factorization.

61437417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 61437417600 in words is "sixty-one billion, four hundred thirty-seven million, four hundred seventeen thousand, six hundred".