61948387200 has 576 divisors, whose sum is σ = 240504249600. Its totient is φ = 13972008960.

The previous prime is 61948387187. The next prime is 61948387229. The reversal of 61948387200 is 278384916.

61948387200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61948387200² (a number of 22 digits) contains 22 as substring.

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 61948387200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37160767 + ... + 37162433.

It is an arithmetic number, because the mean of its divisors is an integer number (417542100).

Almost surely, 2^61948387200 is an apocalyptic number.

61948387200 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 61948387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120252124800).

61948387200 is an abundant number, since it is smaller than the sum of its proper divisors (178555862400).

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

61948387200 is a wasteful number, since it uses less digits than its factorization.

61948387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 61948387200 in words is "sixty-one billion, nine hundred forty-eight million, three hundred eighty-seven thousand, two hundred".