61624636320 has 192 divisors, whose sum is σ = 211081538304. Its totient is φ = 15021711360.

The previous prime is 61624636291. The next prime is 61624636349. The reversal of 61624636320 is 2363642616.

It is an interprime number because it is at equal distance from previous prime (61624636291) and next prime (61624636349).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 594780 + ... + 690660.

It is an arithmetic number, because the mean of its divisors is an integer number (1099383012).

Almost surely, 2^61624636320 is an apocalyptic number.

61624636320 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 61624636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105540769152).

61624636320 is an abundant number, since it is smaller than the sum of its proper divisors (149456901984).

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

61624636320 is a wasteful number, since it uses less digits than its factorization.

61624636320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96015 (or 96007 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 61624636320 in words is "sixty-one billion, six hundred twenty-four million, six hundred thirty-six thousand, three hundred twenty".