61368921600 has 240 divisors, whose sum is σ = 231690611328. Its totient is φ = 14027120640.

The previous prime is 61368921599. The next prime is 61368921629. The reversal of 61368921600 is 612986316.

61368921600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×61368921600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154647 + ... + 382953.

Almost surely, 2^61368921600 is an apocalyptic number.

61368921600 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 61368921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115845305664).

61368921600 is an abundant number, since it is smaller than the sum of its proper divisors (170321689728).

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

61368921600 is a wasteful number, since it uses less digits than its factorization.

61368921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228345 (or 228324 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 61368921600 in words is "sixty-one billion, three hundred sixty-eight million, nine hundred twenty-one thousand, six hundred".