70769468953440 has 192 divisors, whose sum is σ = 247709772112320. Its totient is φ = 18870591283200.

The previous prime is 70769468953409. The next prime is 70769468953471. The reversal of 70769468953440 is 4435986496707.

It is a happy number.

70769468953440 is a `hidden beast` number, since 7 + 0 + 7 + 6 + 9 + 4 + 6 + 89 + 534 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (70769468953409) and next prime (70769468953471).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 64693912 + ... + 65778728.

It is an arithmetic number, because the mean of its divisors is an integer number (1290155063085).

Almost surely, 2^{70769468953440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70769468953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123854886056160).

70769468953440 is an abundant number, since it is smaller than the sum of its proper divisors (176940303158880).

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

70769468953440 is a wasteful number, since it uses less digits than its factorization.

70769468953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099942 (or 1099928 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 70769468953440 in words is "seventy trillion, seven hundred sixty-nine billion, four hundred sixty-eight million, nine hundred fifty-three thousand, four hundred forty".