61436067840 has 704 divisors, whose sum is σ = 257697976320. Its totient is φ = 13589544960.

The previous prime is 61436067817. The next prime is 61436067851. The reversal of 61436067840 is 4876063416.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1981808625 + ... + 1981808655.

Almost surely, 2^61436067840 is an apocalyptic number.

61436067840 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 61436067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128848988160).

61436067840 is an abundant number, since it is smaller than the sum of its proper divisors (196261908480).

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

61436067840 is an frugal number, since it uses more digits than its factorization.

61436067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 61436067840 in words is "sixty-one billion, four hundred thirty-six million, sixty-seven thousand, eight hundred forty".