61796528640 has 1280 divisors, whose sum is σ = 290192855040. Its totient is φ = 12067799040.

The previous prime is 61796528603. The next prime is 61796528693. The reversal of 61796528640 is 4682569716.

61796528640 is a `hidden beast` number, since 6 + 1 + 79 + 6 + 528 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90477739 + ... + 90478421.

It is an arithmetic number, because the mean of its divisors is an integer number (226713168).

Almost surely, 2^61796528640 is an apocalyptic number.

61796528640 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 61796528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145096427520).

61796528640 is an abundant number, since it is smaller than the sum of its proper divisors (228396326400).

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

61796528640 is a wasteful number, since it uses less digits than its factorization.

61796528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 61796528640 in words is "sixty-one billion, seven hundred ninety-six million, five hundred twenty-eight thousand, six hundred forty".