7561408167936 has 480 divisors, whose sum is σ = 26951774976000. Its totient is φ = 2046681022464.

The previous prime is 7561408167913. The next prime is 7561408167953. The reversal of 7561408167936 is 6397618041657.

7561408167936 is a `hidden beast` number, since 7 + 5 + 61 + 408 + 167 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58770685 + ... + 58899203.

It is an arithmetic number, because the mean of its divisors is an integer number (56149531200).

Almost surely, 2^{7561408167936} is an apocalyptic number.

7561408167936 is a gapful number since it is divisible by the number (76) 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 7561408167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13475887488000).

7561408167936 is an abundant number, since it is smaller than the sum of its proper divisors (19390366808064).

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

7561408167936 is a wasteful number, since it uses less digits than its factorization.

7561408167936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128582 (or 128550 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 7561408167936 in words is "seven trillion, five hundred sixty-one billion, four hundred eight million, one hundred sixty-seven thousand, nine hundred thirty-six".