61437602304 has 480 divisors, whose sum is σ = 206917381440. Its totient is φ = 17890025472.

The previous prime is 61437602257. The next prime is 61437602339. The reversal of 61437602304 is 40320673416.

It is a happy number.

61437602304 is a `hidden beast` number, since 6 + 1 + 43 + 7 + 602 + 3 + 0 + 4 = 666.

61437602304 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 2×61437602304² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64875559 + ... + 64876505.

It is an arithmetic number, because the mean of its divisors is an integer number (431077878).

Almost surely, 2^61437602304 is an apocalyptic number.

61437602304 is a gapful number since it is divisible by the number (64) 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 61437602304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103458690720).

61437602304 is an abundant number, since it is smaller than the sum of its proper divisors (145479779136).

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

61437602304 is a wasteful number, since it uses less digits than its factorization.

61437602304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 61437602304 in words is "sixty-one billion, four hundred thirty-seven million, six hundred two thousand, three hundred four".