61340804642880 has 1120 divisors, whose sum is σ = 254869530448896. Its totient is φ = 13712084434944.

The previous prime is 61340804642879. The next prime is 61340804642881. The reversal of 61340804642880 is 8824640804316.

It is a happy number.

61340804642880 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 0 + 80 + 464 + 28 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (61340804642879) and next prime (61340804642881).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61340804642881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19553968672 + ... + 19553971808.

Almost surely, 2^{61340804642880} is an apocalyptic number.

61340804642880 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 61340804642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127434765224448).

61340804642880 is an abundant number, since it is smaller than the sum of its proper divisors (193528725806016).

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

61340804642880 is a wasteful number, since it uses less digits than its factorization.

61340804642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 61340804642880 in words is "sixty-one trillion, three hundred forty billion, eight hundred four million, six hundred forty-two thousand, eight hundred eighty".