69077940251040 has 384 divisors, whose sum is σ = 276691920261120. Its totient is φ = 15767520113664.

The previous prime is 69077940251011. The next prime is 69077940251057. The reversal of 69077940251040 is 4015204977096.

69077940251040 is a `hidden beast` number, since 69 + 0 + 7 + 79 + 402 + 5 + 104 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 20413419 + ... + 23555541.

It is an arithmetic number, because the mean of its divisors is an integer number (720551875680).

Almost surely, 2^{69077940251040} is an apocalyptic number.

69077940251040 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 69077940251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138345960130560).

69077940251040 is an abundant number, since it is smaller than the sum of its proper divisors (207613980010080).

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

69077940251040 is a wasteful number, since it uses less digits than its factorization.

69077940251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142881 (or 3142867 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 69077940251040 in words is "sixty-nine trillion, seventy-seven billion, nine hundred forty million, two hundred fifty-one thousand, forty".