61900876800 has 594 divisors, whose sum is σ = 257866657308. Its totient is φ = 14146191360.

The previous prime is 61900876759. The next prime is 61900876801. The reversal of 61900876800 is 867800916.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (61900876801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11286859 + ... + 11292341.

Almost surely, 2^61900876800 is an apocalyptic number.

61900876800 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 61900876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128933328654).

61900876800 is an abundant number, since it is smaller than the sum of its proper divisors (195965780508).

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

61900876800 is a wasteful number, since it uses less digits than its factorization.

61900876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 61900876800 in words is "sixty-one billion, nine hundred million, eight hundred seventy-six thousand, eight hundred".