61619097600 has 1560 divisors, whose sum is σ = 265459170240. Its totient is φ = 14014218240.

The previous prime is 61619097587. The next prime is 61619097647. The reversal of 61619097600 is 679091616.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2679091189 + ... + 2679091211.

Almost surely, 2^61619097600 is an apocalyptic number.

61619097600 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 61619097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132729585120).

61619097600 is an abundant number, since it is smaller than the sum of its proper divisors (203840072640).

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

61619097600 is a wasteful number, since it uses less digits than its factorization.

61619097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 61619097600 in words is "sixty-one billion, six hundred nineteen million, ninety-seven thousand, six hundred".