61426468800 has 168 divisors, whose sum is σ = 223922386800. Its totient is φ = 16380380160.

The previous prime is 61426468799. The next prime is 61426468823. The reversal of 61426468800 is 886462416.

61426468800 is a `hidden beast` number, since 614 + 26 + 4 + 6 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×61426468800² (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667755 + ... + 754154.

It is an arithmetic number, because the mean of its divisors is an integer number (1332871350).

Almost surely, 2^61426468800 is an apocalyptic number.

61426468800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61426468800 is an abundant number, since it is smaller than the sum of its proper divisors (162495918000).

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

61426468800 is a wasteful number, since it uses less digits than its factorization.

61426468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421940 (or 1421919 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 61426468800 in words is "sixty-one billion, four hundred twenty-six million, four hundred sixty-eight thousand, eight hundred".