61546477440 has 768 divisors, whose sum is σ = 241118208000. Its totient is φ = 13294632960.

The previous prime is 61546477429. The next prime is 61546477451. The reversal of 61546477440 is 4477464516.

It is an interprime number because it is at equal distance from previous prime (61546477429) and next prime (61546477451).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61546477440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137074336 + ... + 137074784.

It is an arithmetic number, because the mean of its divisors is an integer number (313956000).

Almost surely, 2^61546477440 is an apocalyptic number.

61546477440 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 61546477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120559104000).

61546477440 is an abundant number, since it is smaller than the sum of its proper divisors (179571730560).

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

61546477440 is a wasteful number, since it uses less digits than its factorization.

61546477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 61546477440 in words is "sixty-one billion, five hundred forty-six million, four hundred seventy-seven thousand, four hundred forty".