61371928800 has 576 divisors, whose sum is σ = 273192514560. Its totient is φ = 12948387840.

The previous prime is 61371928799. The next prime is 61371928811. The reversal of 61371928800 is 882917316.

61371928800 is a `hidden beast` number, since 613 + 7 + 1 + 9 + 28 + 8 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1949989 + ... + 1981211.

It is an arithmetic number, because the mean of its divisors is an integer number (474292560).

Almost surely, 2^61371928800 is an apocalyptic number.

61371928800 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 61371928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136596257280).

61371928800 is an abundant number, since it is smaller than the sum of its proper divisors (211820585760).

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

61371928800 is a wasteful number, since it uses less digits than its factorization.

61371928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31272 (or 31253 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 61371928800 in words is "sixty-one billion, three hundred seventy-one million, nine hundred twenty-eight thousand, eight hundred".