61264457730 has 384 divisors, whose sum is σ = 196124737536. Its totient is φ = 13464921600.

The previous prime is 61264457713. The next prime is 61264457773. The reversal of 61264457730 is 3775446216.

61264457730 is a `hidden beast` number, since 6 + 1 + 2 + 6 + 44 + 577 + 30 = 666.

It is a super-4 number, since 4×61264457730⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117589870 + ... + 117590390.

It is an arithmetic number, because the mean of its divisors is an integer number (510741504).

Almost surely, 2^61264457730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61264457730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98062368768).

61264457730 is an abundant number, since it is smaller than the sum of its proper divisors (134860279806).

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

61264457730 is a wasteful number, since it uses less digits than its factorization.

61264457730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 61264457730 in words is "sixty-one billion, two hundred sixty-four million, four hundred fifty-seven thousand, seven hundred thirty".